Find the range of values of x which satisfies the inequality 12x2
- A.
-(frac{1}{4}) - B.
(frac{1}{4}) - C.
-(frac{1}{3}) - D.
-(frac{1}{4})
Correct Answer: Option A
Explanation
12x2
12 – x – 1
12x2 – 4x + 3x – 1
4x(3x – 1) + (3x – 1)
Case 1 (+, -)
4x + 1 > 0, 3x – 1
x > -(frac{1}{4})x
Case 2 (-, +) 4x + 1 0
-(frac{1}{4})