To explain: write a reason so that |x+ 5|>1 can be written as compound inequality.
Answer to Problem 67PPE
Explanation of Solution
Given information:
Concept used:-
Compound inequality: - An inequality is called compound inequality if it contains at least two inequalities and these inequalities are separated by either”and” or “or”.
Modulus/ Absolute value: -
And if we have
Case 1:- if
Case 2:- if
So,
Reason and Calculation: - As given
By the definition of modulus, we have
Here are two possible cases: -
Case 1: - if
Case 2: - if
So,
This is compound inequality.
So, the given inequality
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High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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