Question

Below are the steps to solve an equation: Step 1: |x − 5| + 2 = 5 Step 2: |x − 5| = 5 − 2 Step 3: |x − 5| = 3 Which of the following is a correct next step to solve the equation?

Answer 1

The next correct step would be to open the absolute value signs. To do so, the equation would need to be put equal to two values wich both need to be solved to find the correct answers.

Equation 1: x-5=3
Equation 2: x-5=-3

The answers would be x=8 and x=2.

Answer 2

Answer:
`x-5=\pm 3` will be the next step of the given expression.

Explanation:

Since, Given expression is |x-5|+2=5

On solving the above expression,

Step 1.
`|x-5|+2=5`

step 2.
`|x-5| = 5-2`

Step 3.
`|x-5| = 3`

Step 4.
`x-5=\pm 3` (because mode takes both positive and negative values)