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Below are the steps to solve an equation:

Step 1: |x − 4| + 1 = 8
Step 2: |x − 4| = 8 − 1
Step 3: |x − 4| = 7

Which of the following is a correct next step to solve the equation?

A. x − 4 = −7
B. x + 4 = −7
C. −x − 4 = 7
D. x + 4 = 7

Respuesta :

Answer:

Option A is correct

[tex]x-4 = -7[/tex]

Step-by-step explanation:

Absolute function:

The parent function f(x) = |x| is defined as:

f(x) = x if x> 0

and

f(x) = -x if x<0

Given the equations:

[tex]|x-4|+1 = 8[/tex]

Step 1.

[tex]|x-4|+1 = 8[/tex]

Step 2.

subtract 1 from both sides we have;

[tex]|x-4|= 8-1[/tex]

Step 3.

Simplify:

[tex]|x-4|=7[/tex]

By definition of absolute function:

x-4 = -7 and x -4 = 7

Therefore, the following is a correct next step to solve the equation is, [tex]x-4 = -7[/tex]