Answer:
D
Step-by-step explanation:
A is impossible.
the absolute value of something is always a positive number. the negative sign before it makes it an always negative number. so, this can never be equal to +5.
B is impossible for the same reasons.
the absolute value is always positive and can never be equal to -5.
C is impossible again for the same reasons.
the negative absolute value of x is always negative. subtracting 2 from that makes the result even more negative. this can never be equal to +5.
D is the only fitting option.
we have two extreme points x = -3 and x = 7.
putting them into the equation gives us for x = -3
-|-3 - 2| = -|-5| = -5 => correct
and for x = 7
-|7 - 2| = -|5| = -5 => correct
