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

Sagot :

Explanation

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

[tex]|x+7\left|\right?.[/tex]

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:

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

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

[tex]|x+7\left|=\right?\begin{cases}x+7\text{ if }x\ge-7 \\ -x-7\text{ if }x<-7\end{cases}[/tex]

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