Chapter 4.CM, Problem 45CM

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Chapter
Section

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

# For problems 43-56, solve the inequality and express the solution in interval notation. | 4 x + 3 | < 15

To determine

To Solve:

The inequality and express in interval notation.

Explanation

Procedure used:

The values of |x| takes value depending on the sign of x.

When, x<0,

|x|=âˆ’x

When, xâ‰¥0,

|x|=x

The way of representing a set of numbers satisfying an inequality aâ‰¤xâ‰¤b in terms of interval is given by xâˆˆâ€‰[a,b].

An inequality xâ‰¥c is given by xâˆˆâ€‰[c,âˆž).

An inequality x<d is given by xâˆˆâ€‰(âˆ’âˆž,d).

Calculation:

The given inequality problem is |4x+3|<15.

Write the given inequalities as two inequalities.

(4x+3)<15 (1)

And,

âˆ’(4x+3)<15 (2)

Simply equation (1).

4x+3<154x<15âˆ’3x<124x<3

An inequality x<3 is given by xâˆˆâ€‰(âˆ’âˆž,3)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Use Exercise 92 to evaluate the integral 0xsinx1+cos2xdx

Single Variable Calculus: Early Transcendentals, Volume I

#### Convert the expressions in Exercises 6584 to power form. 3

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Problems 17-24, find the slope and y-intercept and then graph each equation.

Mathematical Applications for the Management, Life, and Social Sciences

#### True or False: converges absolutely.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th