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?
- -\(\frac{1}{2} \leq x\) < 3
- -\(\frac{1}{2} < x \leq 3\)
-
-\(\frac{1}{2} < x < 3\)
- -\(\frac{1}{2} \leq x \leq 3\)
The correct answer is: C
Explanation
2x2 - 5x - 3 = 02x2 - 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