No Absolute Values?

2017-02-21 12:05 pm
Rewrite the expression in a form that does not contain an absolute value.

|x + 1| + 4|x + 3|, where x < -3

回答 (1)

2017-02-21 12:19 pm
✔ 最佳答案
When x < -3 :
x + 1 < 0 and x + 3 < 0
|x + 1| = -(x + 1) and |x + 3| = -(x + 3)

|x + 1| + 4|x + 3|
= [-(x + 1)] + 4[-(x + 3)]
= -x -1 - 4x - 12
= -5x - 13


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