The graph is that of y = 2x2 - 5x - 3. For what value of x will y be negative? For what value of x will y be negative?
Attached Figure / Diagram
A
-\(\frac{1}{2} \leq x\) < 3
B
-\(\frac{1}{2} < x \leq 3\)
C
-\(\frac{1}{2} < x < 3\)
D
-\(\frac{1}{2} \leq x \leq 3\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
2x2 - 5x - 3 = 0
2x2 - 6x + x - 3 = 0
2x(x - 3) + 1(x - 3) = 0
(2x + 1)(x - 3) = 0
2x + 1 = 0
2x = -1
x = -\(\frac{1}{2}\)
x - 3 = 0
-\(\frac{1}{2}\) < x < 3
Source: Myschool Past Questions Archive (Record #36826)