For what values of a are the following expressions true?

|a+5|=-5-a

Question

Mathematics

Dakota Walter

5 May, 20:57

For what values of a are the following expressions true?

|a+5|=-5-a

+3

Answers (1)

Know the Answer?

Summer Johnston · Answer 1

a can be any real number less than equal to - 5

Step-by-step explanation:

When a+5 is negative,

a + 5 = - (-5 - a)

a + 5 = a + 5

All values satisfy the equation

So a < - 5

When a + 5 is greater than/equal to 0,

a + 5 = - a - 5

2a = - 10

a = - 5

a can be any real number less than equal to - 5

For what values of a are the following expressions true?|a+5|=-5-a

For what values of a are the following expressions true?

|a+5|=-5-a