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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

Respuesta :

Given:

The absolute value equation is

[tex]|x|-2=5[/tex]

To find:

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

Solution:

We have,

[tex]|x|-2=5[/tex]

Add 2 on both sides.

[tex]|x|-2+2=5+2[/tex]

[tex]|x|=7[/tex]

[tex]x=\pm 7[/tex]

[tex]x=-7[/tex] and [tex]x=7[/tex]

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

Therefore, the correct option is A.