Problem

Simplify by writing the expression without absolute value bars. $|x+7|$ for $x \geq-7$ Select one: a. $-x-7$ b. $-x+7$ c. $x+7$ d. $x-7$

Solution

Step 1 :The absolute value of a number is its distance from zero on the number line, regardless of direction.

Step 2 :Therefore, if $x \geq -7$, then $x+7$ is non-negative.

Step 3 :The absolute value of a non-negative number is the number itself.

Step 4 :Therefore, $|x+7|$ simplifies to $x+7$ for $x \geq -7$.

Step 5 :Final Answer: \(\boxed{x+7}\)

From Solvely APP
Source: https://solvelyapp.com/problems/kijcVJ065O/

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