Let f(x) = 2x + 4 and g(x) = 6x + 7 here g(x) > 0. Solve the inequality (frac{f(x)}{g(x)})
-
A.
x -
B.
x > – (frac{4}{3}) -
C.
x > – (frac{3}{4}) -
D.
x > – 12
Correct Answer: Option C
Explanation
(frac{f(x)}{g(x)})
∴ (frac{2x +4}{6x + 7})
= 2x + 4
= 6x + 7 > 2x + 4
= 6x – 2x > 4 – 7
= 4x > -3
∴ x > -(frac{3}{4})