Answered

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?

Ax − 4 = −7
Bx + 4 = −7
C−x − 4 = 7
Dx + 4 = 7

Verified Answer :

Answer:

Option A is correct

\(x-4 = -7\)

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:

\(|x-4|+1 = 8\)

Step 1.

\(|x-4|+1 = 8\)

Step 2.

subtract 1 from both sides we have;

\(|x-4|= 8-1\)

Step 3.

Simplify:

\(|x-4|=7\)

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, \(x-4 = -7\)

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