2x2 + x – 3 < 0
⇒ (x – 1)(2x + 3) < 0 or, -3⁄2 < x < 1
This justifies what answer for what question? Q & A:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Which value of x does statisfy the inequality 2x2 + x – 3 < 0?
Options:
(A) -3⁄2 < x < 1
(B) -1 < x < 3⁄2
(C) x > 1
(D) x < -2⁄5
(E) None of these
(A)