Determine whether the statement below is true for positive real numbers a.
|a + 8| = |a| + 8

Name: Determine whether the statement below is true for positive real numbers a. |a + 8| = |a| + 8
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Question

Quizplus · Accepted Answer

|a + 8| is the distance from a + 8 to 0 on the number line, and |a| + 8 is the distance from a to 0 plus 8. Since a is positive, a + 8 is greater than a, so |a + 8| is greater than |a|. Therefore, |a + 8| = |a| + 8.

Determine Whether the Statement Below Is True for Positive Real