To write: an absolute value inequality for each given graph.
Answer to Problem 38E
For first graph:
For second graph:
For third graph:
For fourth graph:
Explanation of Solution
Consider the first graph:
It can be observed that the shaded region is 3 or more units away from 2. This implies that the sign will be either
So, the inequality is:
Consider the second graph:
It can be observed that the shaded region is 3 or less than 3 units away from 2. This implies that the sign will be either
So, the inequality is:
Consider the third graph:
It can be observed that the shaded region is 3 or less than 3 units away from 2. This implies that the sign will be either
So, the inequality is:
Consider the fourth graph:
It can be observed that the shaded region is 3 or more units away from 2. This implies that the sign will be either
So, the inequality is:
Chapter 2 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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