If (begin{vmatrix} 3 & x \ 2 & x – 2 end{vmatrix} = -2), find the value of x.
-
A.
-8 -
A.
4 -
B.
-4 -
D.
8
Correct Answer: Option A
Explanation
(begin{vmatrix} 3 & x \ 2 & x – 2 end{vmatrix} = 3(x – 2) – 2x = -2)
(3x – 6 – 2x = -2 implies x – 6 = -2)
(x = -2 + 6 = 4)