Find the range of values of x which satisfies the inequality 12x2 < x + 1
A
-\(\frac{1}{4}\) < x < \(\frac{1}{3}\)
B
\(\frac{1}{4}\) < x < -\(\frac{1}{3}\)
C
-\(\frac{1}{3}\) < x < \(\frac{1}{4}\)
D
-\(\frac{1}{4}\) < x < - \(\frac{1}{3}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
12x2 2 - 4x + 3x - 1 0, 3x - 1 -\(\frac{1}{4}\)x 0
-\(\frac{1}{4}\) < x < - \(\frac{1}{3}\)
Source: Myschool Past Questions Archive (Record #30815)