Question

Question 1 Solve the absolute value equation |x| − 2 = 5 to find the distance Mary can walk forward, x, in 5 seconds. Group of answer choices x = 7 m and x = −7 m x = −7 m and x = 3 m x = −3 m and x = 7 m x = 3 m and x = −3 m

Answer 1

Given:

The absolute value equation is

$|x|-2=5$

To find:

The distance Mary can walk forward, i.e., x.

Solution:

We have,

$|x|-2=5$

Add 2 on both sides.

$|x|-2+2=5+2$

$|x|=7$

$x=\pm 7$

$x=-7$ and $x=7$

Here, negative sign represents the distance Mary can walk reverse direction.

Therefore, the correct option is A.