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

Option A is correct

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:

Step 1.

Step 2.

subtract 1 from both sides we have;

Step 3.

Simplify:

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,

b i think

step-by-step explanation:

not really sure

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x