Question

What is the solution set of |x – 4| + 7 = 4?

–4 or 4

–3 or 3

No solution

1 or 7

Answer 1

First subtract 7 from both sides.

\( \color{Black}{\Rightarrow |x - 4| = -3 }\)

We have:

\( \color{Black}{\Rightarrow x - 4 = \pm 3 }\)

Answer 2

Solve the two equations:

\( \color{Black}{\Rightarrow x - 4 = 3 }\)

\( \color{Black}{\Rightarrow x - 4 = -3 }\)

Answer 3

no solution

Answer 4

Correct. I was testing you ^_^