Question

Write each expression without the absolute value symbol.(x+7)

Answer 1

Step-by-step explanation

We must write the following expression without the absolute value symbol:

`|x+7\left|\right?.`

We have two cases:

1) If (x + 7) ≥ 0 or x ≥ -7, the expression is (x + 7).

2) If (x + 7) < 0 or x < -7, the expression is -(x + 7).

Combining these results, we have:

`|x+7\left|=\right?\begin{cases}x+7\text{ if }x\ge-7 \\ -x-7\text{ if }x<-7\end{cases}`Answer

The equivalent expression to |x + 7| without an absolute value symbol is:

`|x+7\left|=\right?\begin{cases}x+7\text{ if }x\ge-7 \\ -x-7\text{ if }x<-7\end{cases}`