Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
bartleby

Videos

Question
Book Icon
Chapter 5.2, Problem 4CYU
To determine

Solve for the unknown variable from the inequality equation.

Expert Solution & Answer
Check Mark

Answer to Problem 4CYU

  c42

Explanation of Solution

Given:

The inequality equation: c67

Concept Used:

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b.

There are four different types of inequalities:

Greater than − (>) ; Less than − (<) ; Greater than or equal to − () ; Less than or equal to − ()

For Inequality equation: If b>cc<borb<cc>b

Rules for solving inequality equations:

These things do not affect the direction of the inequality:

  • Add (or subtract) a number from both sides
  • Multiply (or divide) both sides by a positive number
  • Simplify a side

But these things do change the direction of the inequality (" < " becomes " > " for example):

  • Multiply (or divide) both sides by a negative number
  • Swapping left and right hand sides

Calculation:

The inequality equation: c67

Solve:

  c676·c66·7[[Multiplybothsidesby6andreversetheinequality]c42

Solution of the inequality equation is c42

Solution set: (,42]

closed, or shaded, circle is used to represent the inequalities greater than or equal to ( ) or less than or equal to ( ). The point is part of the solution.

Solution set on the number line

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 5.2, Problem 4CYU

Thus, the solution of the inequality equation c67 is c42

Chapter 5 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 5.1 - Prob. 4CYUCh. 5.1 - Prob. 5CYUCh. 5.1 - Prob. 6CYUCh. 5.1 - Prob. 7CYUCh. 5.1 - Prob. 8CYUCh. 5.1 - Prob. 9CYUCh. 5.1 - Prob. 10CYUCh. 5.1 - Prob. 11CYUCh. 5.1 - Prob. 12PPSCh. 5.1 - Prob. 13PPSCh. 5.1 - Prob. 14PPSCh. 5.1 - Prob. 15PPSCh. 5.1 - Prob. 16PPSCh. 5.1 - Prob. 17PPSCh. 5.1 - Prob. 18PPSCh. 5.1 - Prob. 19PPSCh. 5.1 - Prob. 20PPSCh. 5.1 - Prob. 21PPSCh. 5.1 - Prob. 22PPSCh. 5.1 - Prob. 23PPSCh. 5.1 - Prob. 24PPSCh. 5.1 - Prob. 25PPSCh. 5.1 - Prob. 26PPSCh. 5.1 - Prob. 27PPSCh. 5.1 - Prob. 28PPSCh. 5.1 - Prob. 29PPSCh. 5.1 - Prob. 30PPSCh. 5.1 - Prob. 31PPSCh. 5.1 - Prob. 32PPSCh. 5.1 - Prob. 33PPSCh. 5.1 - Prob. 34PPSCh. 5.1 - Prob. 35PPSCh. 5.1 - Prob. 36PPSCh. 5.1 - Prob. 37PPSCh. 5.1 - Prob. 38PPSCh. 5.1 - Prob. 39PPSCh. 5.1 - Prob. 40PPSCh. 5.1 - Prob. 41PPSCh. 5.1 - Prob. 42PPSCh. 5.1 - Prob. 43PPSCh. 5.1 - Prob. 44PPSCh. 5.1 - Prob. 45PPSCh. 5.1 - Prob. 46PPSCh. 5.1 - Prob. 47PPSCh. 5.1 - Prob. 48PPSCh. 5.1 - Prob. 49PPSCh. 5.1 - Prob. 50PPSCh. 5.1 - Prob. 51PPSCh. 5.1 - Prob. 52HPCh. 5.1 - Prob. 53HPCh. 5.1 - Prob. 54HPCh. 5.1 - Prob. 55HPCh. 5.1 - Prob. 56HPCh. 5.1 - Prob. 57PFACh. 5.1 - Prob. 58PFACh. 5.1 - Prob. 59PFACh. 5.1 - Prob. 60PFACh. 5.1 - Prob. 61PFACh. 5.1 - Prob. 62PFACh. 5.2 - Prob. 1GPCh. 5.2 - Prob. 2AGPCh. 5.2 - Prob. 2BGPCh. 5.2 - Prob. 2CGPCh. 5.2 - Prob. 2DGPCh. 5.2 - Prob. 3AGPCh. 5.2 - Prob. 3BGPCh. 5.2 - Prob. 3CGPCh. 5.2 - Prob. 3DGPCh. 5.2 - Prob. 1CYUCh. 5.2 - Prob. 2CYUCh. 5.2 - Prob. 3CYUCh. 5.2 - Prob. 4CYUCh. 5.2 - Prob. 5CYUCh. 5.2 - Prob. 6CYUCh. 5.2 - Prob. 7CYUCh. 5.2 - Prob. 8CYUCh. 5.2 - Prob. 9CYUCh. 5.2 - Prob. 10PPSCh. 5.2 - Prob. 11PPSCh. 5.2 - Prob. 12PPSCh. 5.2 - Prob. 13PPSCh. 5.2 - Prob. 14PPSCh. 5.2 - Prob. 15PPSCh. 5.2 - Prob. 16PPSCh. 5.2 - Prob. 17PPSCh. 5.2 - Prob. 18PPSCh. 5.2 - Prob. 19PPSCh. 5.2 - Prob. 20PPSCh. 5.2 - Prob. 21PPSCh. 5.2 - Prob. 22PPSCh. 5.2 - Prob. 23PPSCh. 5.2 - Prob. 24PPSCh. 5.2 - Prob. 25PPSCh. 5.2 - Prob. 26PPSCh. 5.2 - Prob. 27PPSCh. 5.2 - Prob. 28PPSCh. 5.2 - Prob. 29PPSCh. 5.2 - Prob. 30PPSCh. 5.2 - Prob. 31PPSCh. 5.2 - Prob. 32PPSCh. 5.2 - Prob. 33PPSCh. 5.2 - Prob. 34PPSCh. 5.2 - Prob. 35PPSCh. 5.2 - Prob. 36PPSCh. 5.2 - Prob. 37PPSCh. 5.2 - Prob. 38PPSCh. 5.2 - Prob. 39PPSCh. 5.2 - Prob. 40PPSCh. 5.2 - Prob. 41PPSCh. 5.2 - Prob. 42HPCh. 5.2 - Prob. 43HPCh. 5.2 - Prob. 44HPCh. 5.2 - Prob. 45HPCh. 5.2 - Prob. 46HPCh. 5.2 - Prob. 47HPCh. 5.2 - Prob. 48PFACh. 5.2 - Prob. 49PFACh. 5.2 - Prob. 50PFACh. 5.2 - Prob. 51PFACh. 5.2 - Prob. 52PFACh. 5.2 - Prob. 53PFACh. 5.2 - Prob. 54PFACh. 5.2 - Prob. 55PFACh. 5.3 - Prob. 1GPCh. 5.3 - Prob. 2AGPCh. 5.3 - Prob. 2BGPCh. 5.3 - Prob. 3GPCh. 5.3 - Prob. 4AGPCh. 5.3 - Prob. 4BGPCh. 5.3 - Prob. 5AGPCh. 5.3 - Prob. 5BGPCh. 5.3 - Prob. 1CYUCh. 5.3 - Prob. 2CYUCh. 5.3 - Prob. 3CYUCh. 5.3 - Prob. 4CYUCh. 5.3 - Prob. 5CYUCh. 5.3 - Prob. 6CYUCh. 5.3 - Prob. 7CYUCh. 5.3 - Prob. 8CYUCh. 5.3 - Prob. 9CYUCh. 5.3 - Prob. 10CYUCh. 5.3 - Prob. 11CYUCh. 5.3 - Prob. 12PPSCh. 5.3 - Prob. 13PPSCh. 5.3 - Prob. 14PPSCh. 5.3 - Prob. 15PPSCh. 5.3 - Prob. 16PPSCh. 5.3 - Prob. 17PPSCh. 5.3 - Prob. 18PPSCh. 5.3 - Prob. 19PPSCh. 5.3 - Prob. 20PPSCh. 5.3 - Prob. 21PPSCh. 5.3 - Prob. 22PPSCh. 5.3 - Prob. 23PPSCh. 5.3 - Prob. 24PPSCh. 5.3 - Prob. 25PPSCh. 5.3 - Prob. 26PPSCh. 5.3 - Prob. 27PPSCh. 5.3 - Prob. 28PPSCh. 5.3 - Prob. 29PPSCh. 5.3 - Prob. 30PPSCh. 5.3 - Prob. 31PPSCh. 5.3 - Prob. 32PPSCh. 5.3 - Prob. 33PPSCh. 5.3 - Prob. 34PPSCh. 5.3 - Prob. 35PPSCh. 5.3 - Prob. 36PPSCh. 5.3 - Prob. 37PPSCh. 5.3 - Prob. 38PPSCh. 5.3 - Prob. 39PPSCh. 5.3 - Prob. 40PPSCh. 5.3 - Prob. 41PPSCh. 5.3 - Prob. 42PPSCh. 5.3 - Prob. 43PPSCh. 5.3 - Prob. 44PPSCh. 5.3 - Prob. 45PPSCh. 5.3 - Prob. 46PPSCh. 5.3 - Prob. 47PPSCh. 5.3 - Prob. 48PPSCh. 5.3 - Prob. 49PPSCh. 5.3 - Prob. 50PPSCh. 5.3 - Prob. 51PPSCh. 5.3 - Prob. 52PPSCh. 5.3 - Prob. 53PPSCh. 5.3 - Prob. 54PPSCh. 5.3 - Prob. 55HPCh. 5.3 - Prob. 56HPCh. 5.3 - Prob. 57HPCh. 5.3 - Prob. 58HPCh. 5.3 - Prob. 59HPCh. 5.3 - Prob. 60PFACh. 5.3 - Prob. 61PFACh. 5.3 - Prob. 62PFACh. 5.3 - Prob. 63PFACh. 5.3 - Prob. 64PFACh. 5.3 - Prob. 65PFACh. 5.4 - Prob. 1AGPCh. 5.4 - Prob. 1BGPCh. 5.4 - Prob. 2GPCh. 5.4 - Prob. 3AGPCh. 5.4 - Prob. 3BGPCh. 5.4 - Prob. 1CYUCh. 5.4 - Prob. 2CYUCh. 5.4 - Prob. 3CYUCh. 5.4 - Prob. 4CYUCh. 5.4 - Prob. 5CYUCh. 5.4 - Prob. 6PPSCh. 5.4 - Prob. 7PPSCh. 5.4 - Prob. 8PPSCh. 5.4 - Prob. 9PPSCh. 5.4 - Prob. 10PPSCh. 5.4 - Prob. 11PPSCh. 5.4 - Prob. 12PPSCh. 5.4 - Prob. 13PPSCh. 5.4 - Prob. 14PPSCh. 5.4 - Prob. 15PPSCh. 5.4 - Prob. 16PPSCh. 5.4 - Prob. 17PPSCh. 5.4 - Prob. 18PPSCh. 5.4 - Prob. 19PPSCh. 5.4 - Prob. 20PPSCh. 5.4 - Prob. 21PPSCh. 5.4 - Prob. 22PPSCh. 5.4 - Prob. 23PPSCh. 5.4 - Prob. 24PPSCh. 5.4 - Prob. 25PPSCh. 5.4 - Prob. 26PPSCh. 5.4 - Prob. 27PPSCh. 5.4 - Prob. 28PPSCh. 5.4 - Prob. 29PPSCh. 5.4 - Prob. 30PPSCh. 5.4 - Prob. 31PPSCh. 5.4 - Prob. 32PPSCh. 5.4 - Prob. 33PPSCh. 5.4 - Prob. 34PPSCh. 5.4 - Prob. 35PPSCh. 5.4 - Prob. 36PPSCh. 5.4 - Prob. 37PPSCh. 5.4 - Prob. 38PPSCh. 5.4 - Prob. 39HPCh. 5.4 - Prob. 40HPCh. 5.4 - Prob. 41HPCh. 5.4 - Prob. 42HPCh. 5.4 - Prob. 43HPCh. 5.4 - Prob. 44PFACh. 5.4 - Prob. 45PFACh. 5.4 - Prob. 46PFACh. 5.4 - Prob. 47PFACh. 5.4 - Prob. 48PFACh. 5.4 - Prob. 49PFACh. 5.4 - Prob. 50PFACh. 5.5 - Prob. 1AGPCh. 5.5 - Prob. 1BGPCh. 5.5 - Prob. 2GPCh. 5.5 - Prob. 3AGPCh. 5.5 - Prob. 3BGPCh. 5.5 - Prob. 1CYUCh. 5.5 - Prob. 2CYUCh. 5.5 - Prob. 3CYUCh. 5.5 - Prob. 4CYUCh. 5.5 - Prob. 5CYUCh. 5.5 - Prob. 6CYUCh. 5.5 - Prob. 7CYUCh. 5.5 - Prob. 8PPSCh. 5.5 - Prob. 9PPSCh. 5.5 - Prob. 10PPSCh. 5.5 - Prob. 11PPSCh. 5.5 - Prob. 12PPSCh. 5.5 - Prob. 13PPSCh. 5.5 - Prob. 14PPSCh. 5.5 - Prob. 15PPSCh. 5.5 - Prob. 16PPSCh. 5.5 - Prob. 17PPSCh. 5.5 - Prob. 18PPSCh. 5.5 - Prob. 19PPSCh. 5.5 - Prob. 20PPSCh. 5.5 - Prob. 21PPSCh. 5.5 - Prob. 22PPSCh. 5.5 - Prob. 23PPSCh. 5.5 - Prob. 24PPSCh. 5.5 - Prob. 25PPSCh. 5.5 - Prob. 26PPSCh. 5.5 - Prob. 27PPSCh. 5.5 - Prob. 28PPSCh. 5.5 - Prob. 29PPSCh. 5.5 - Prob. 30PPSCh. 5.5 - Prob. 31PPSCh. 5.5 - Prob. 32PPSCh. 5.5 - Prob. 33PPSCh. 5.5 - Prob. 34PPSCh. 5.5 - Prob. 35PPSCh. 5.5 - Prob. 36PPSCh. 5.5 - Prob. 37PPSCh. 5.5 - Prob. 38PPSCh. 5.5 - Prob. 39PPSCh. 5.5 - Prob. 40PPSCh. 5.5 - Prob. 41PPSCh. 5.5 - Prob. 42PPSCh. 5.5 - Prob. 43HPCh. 5.5 - Prob. 44HPCh. 5.5 - Prob. 45HPCh. 5.5 - Prob. 46HPCh. 5.5 - Prob. 47HPCh. 5.5 - Prob. 48PFACh. 5.5 - Prob. 49PFACh. 5.5 - Prob. 50PFACh. 5.5 - Prob. 51PFACh. 5.5 - Prob. 52PFACh. 5.5 - Prob. 53PFACh. 5.5 - Prob. 54PFACh. 5.5 - Prob. 55PFACh. 5.6 - Prob. 1AGPCh. 5.6 - Prob. 1BGPCh. 5.6 - Prob. 2AGPCh. 5.6 - Prob. 2BGPCh. 5.6 - Prob. 3GPCh. 5.6 - Prob. 4GPCh. 5.6 - Prob. 1CYUCh. 5.6 - Prob. 2CYUCh. 5.6 - Prob. 3CYUCh. 5.6 - Prob. 4CYUCh. 5.6 - Prob. 5CYUCh. 5.6 - Prob. 6CYUCh. 5.6 - Prob. 7CYUCh. 5.6 - Prob. 8CYUCh. 5.6 - Prob. 9CYUCh. 5.6 - Prob. 10PPSCh. 5.6 - Prob. 11PPSCh. 5.6 - Prob. 12PPSCh. 5.6 - Prob. 13PPSCh. 5.6 - Prob. 14PPSCh. 5.6 - Prob. 15PPSCh. 5.6 - Prob. 16PPSCh. 5.6 - Prob. 17PPSCh. 5.6 - Prob. 18PPSCh. 5.6 - Prob. 19PPSCh. 5.6 - Prob. 20PPSCh. 5.6 - Prob. 21PPSCh. 5.6 - Prob. 22PPSCh. 5.6 - Prob. 23PPSCh. 5.6 - Prob. 24PPSCh. 5.6 - Prob. 25PPSCh. 5.6 - Prob. 26PPSCh. 5.6 - Prob. 27PPSCh. 5.6 - Prob. 28PPSCh. 5.6 - Prob. 29PPSCh. 5.6 - Prob. 30PPSCh. 5.6 - Prob. 31PPSCh. 5.6 - Prob. 32PPSCh. 5.6 - Prob. 33PPSCh. 5.6 - Prob. 34PPSCh. 5.6 - Prob. 35PPSCh. 5.6 - Prob. 36PPSCh. 5.6 - Prob. 37PPSCh. 5.6 - Prob. 38HPCh. 5.6 - Prob. 39HPCh. 5.6 - Prob. 40HPCh. 5.6 - Prob. 41HPCh. 5.6 - Prob. 42PFACh. 5.6 - Prob. 43PFACh. 5.6 - Prob. 44PFACh. 5.6 - Prob. 45PFACh. 5.6 - Prob. 46PFACh. 5.6 - Prob. 47PFACh. 5 - Prob. 1MCQCh. 5 - Prob. 2MCQCh. 5 - Prob. 3MCQCh. 5 - Prob. 4MCQCh. 5 - Prob. 5MCQCh. 5 - Prob. 6MCQCh. 5 - Prob. 7MCQCh. 5 - Prob. 8MCQCh. 5 - Prob. 9MCQCh. 5 - Prob. 10MCQCh. 5 - Prob. 11MCQCh. 5 - Prob. 12MCQCh. 5 - Prob. 13MCQCh. 5 - Prob. 14MCQCh. 5 - Prob. 15MCQCh. 5 - Prob. 16MCQCh. 5 - Prob. 17MCQCh. 5 - Prob. 18MCQCh. 5 - Prob. 19MCQCh. 5 - Prob. 20MCQCh. 5 - Prob. 21MCQCh. 5 - Prob. 22MCQCh. 5 - Prob. 23MCQCh. 5 - Prob. 24MCQCh. 5 - Prob. 25MCQCh. 5 - Prob. 26MCQCh. 5 - Prob. 27MCQCh. 5 - Prob. 1SGRCh. 5 - Prob. 2SGRCh. 5 - Prob. 3SGRCh. 5 - Prob. 4SGRCh. 5 - Prob. 5SGRCh. 5 - Prob. 6SGRCh. 5 - Prob. 7SGRCh. 5 - Prob. 8SGRCh. 5 - Prob. 9SGRCh. 5 - Prob. 10SGRCh. 5 - Prob. 11SGRCh. 5 - Prob. 12SGRCh. 5 - Prob. 13SGRCh. 5 - Prob. 14SGRCh. 5 - Prob. 15SGRCh. 5 - Prob. 16SGRCh. 5 - Prob. 17SGRCh. 5 - Prob. 18SGRCh. 5 - Prob. 19SGRCh. 5 - Prob. 20SGRCh. 5 - Prob. 21SGRCh. 5 - Prob. 22SGRCh. 5 - Prob. 23SGRCh. 5 - Prob. 24SGRCh. 5 - Prob. 25SGRCh. 5 - Prob. 26SGRCh. 5 - Prob. 27SGRCh. 5 - Prob. 28SGRCh. 5 - Prob. 29SGRCh. 5 - Prob. 30SGRCh. 5 - Prob. 31SGRCh. 5 - Prob. 32SGRCh. 5 - Prob. 33SGRCh. 5 - Prob. 34SGRCh. 5 - Prob. 35SGRCh. 5 - Prob. 36SGRCh. 5 - Prob. 37SGRCh. 5 - Prob. 38SGRCh. 5 - Prob. 39SGRCh. 5 - Prob. 40SGRCh. 5 - Prob. 41SGRCh. 5 - Prob. 42SGRCh. 5 - Prob. 43SGRCh. 5 - Prob. 44SGRCh. 5 - Prob. 45SGRCh. 5 - Prob. 46SGRCh. 5 - Prob. 47SGRCh. 5 - Prob. 48SGRCh. 5 - Prob. 49SGRCh. 5 - Prob. 50SGRCh. 5 - Prob. 51SGRCh. 5 - Prob. 52SGRCh. 5 - Prob. 1PTCh. 5 - Prob. 2PTCh. 5 - Prob. 3PTCh. 5 - Prob. 4PTCh. 5 - Prob. 5PTCh. 5 - Prob. 6PTCh. 5 - Prob. 7PTCh. 5 - Prob. 8PTCh. 5 - Prob. 9PTCh. 5 - Prob. 10PTCh. 5 - Prob. 11PTCh. 5 - Prob. 12PTCh. 5 - Prob. 13PTCh. 5 - Prob. 14PTCh. 5 - Prob. 15PTCh. 5 - Prob. 16PTCh. 5 - Prob. 17PTCh. 5 - Prob. 18PTCh. 5 - Prob. 19PTCh. 5 - Prob. 20PTCh. 5 - Prob. 21PTCh. 5 - Prob. 22PTCh. 5 - Prob. 23PTCh. 5 - Prob. 24PTCh. 5 - Prob. 25PTCh. 5 - Prob. 26PTCh. 5 - Prob. 1CRCh. 5 - Prob. 2CRCh. 5 - Prob. 3CRCh. 5 - Prob. 4CRCh. 5 - Prob. 5CRCh. 5 - Prob. 6CRCh. 5 - Prob. 7CRCh. 5 - Prob. 8CRCh. 5 - Prob. 9CRCh. 5 - Prob. 10CRCh. 5 - Prob. 11CRCh. 5 - Prob. 12CR
Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
2.1 Introduction to inequalities; Author: Oli Notes;https://www.youtube.com/watch?v=D6erN5YTlXE;License: Standard YouTube License, CC-BY
GCSE Maths - What are Inequalities? (Inequalities Part 1) #56; Author: Cognito;https://www.youtube.com/watch?v=e_tY6X5PwWw;License: Standard YouTube License, CC-BY
Introduction to Inequalities | Inequality Symbols | Testing Solutions for Inequalities; Author: Scam Squad Math;https://www.youtube.com/watch?v=paZSN7sV1R8;License: Standard YouTube License, CC-BY