If |x+2| = 4. What is the value of x?

1) X^2 is not equal to 4.

2) x^2 = 36.









Evaluating |x+2| = 4 gives two values x= 2 when x is positive and x = -6 when x is negative.

Repharse ---------x is either 2 or -6.



statement (1):
rephrase: x is neither 2 nor -2.
therefore, x must be -6.
sufficient.

statement (2):
rephrase: x is either 6 or -6.
between these two, the only one on the proverbial VIP guest list is -6 (remember that the only numbers on the guest list are 2 and -6), so x must be -6.
sufficient.

answer = (d).