Question

Solve |x + 2| = 7

• A. - 9
• B. 5
• C. Neither
• D. Both

Answer 1

The correct option is D Both

To clear the absolute value bars, we must split the equation into its two possible two cases, one case for each sign:
$(x+2)=7$ or $-(x+2)=7$
$x+2=7$ or $-x-2=7$
$x=5$ $-9=x$

The solution is x = -9, 5.
The correct answer option is D.