If (begin{vmatrix} 3 & x \ 2 & x – 2 end{vmatrix} = -2), find the value of x.
- A. -8
- B. 4
- C. -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)