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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 = −3 m and x = 7 m

x = 3 m and x = −3 m

x = −7 m and x = 3 m

Respuesta :

Answer:

x = 7 m and x = −7 m

Step-by-step explanation:

Its a modulus problem

concept

|x|  = x when x>=0

|x| = -x when x < 0

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Now given

|x| − 2 = 5

adding 2 both sides

|x| − 2  + 2 = 5 + 2

|x|  = 7

now

x = 7  when x >= 0

x = -7 when x<0

Thus, correct answer is x = 7 m and x = −7 m

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