Concept explainers
To find: the two subsets of the real numbers that form the set of real numbers.
Answer to Problem 5LC
From the above description it is clear that the rational and irrational numbers together form the set of real numbers.
Explanation of Solution
Given:
Two subsets of the real numbers.
Concept used:
Number system or real number
consist of two types namely:
Rational numbers and irrational numbers.
Rational numbers: all terminating or recurring decimals.
irrational numbers: all non -terminating and non- recurring decimals.
Rational numbers
Integers and non-integers.
Integers are those numbers which are in the form composite number without the fraction and non-integers are numbers in fractions.
Integers are further divided into two types as:
Negative numbers and whole numbers and whole number is further divided into two type as natural number and zero.
From the above description it is clear that the rational and irrational numbers together form the set of real numbers.
Calculation:
The number system is as follows:
Number system or real number
consist of two types namely:
Rational numbers and irrational numbers.
Rational numbers are all terminating or recurring decimals and irrational numbers are all non -terminating and non- recurring decimals.
Rational numbers
Integers are those numbers which are in the form composite number without the fraction and non-integers are numbers in fractions.
Integers are further divided into two types as:
Negative numbers and whole numbers and whole number is further divided into two type as natural number and zero.
Hence, from the above description it is clear that the rational and irrational numbers together form the set of real numbers.
Chapter 1 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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