Find all real number x which satisfy the inequality (frac{1}{3}) (x + 1) – 1 > (frac{1}{5})(x + 4)
-
A.
x -
B.
x -
C.
x > 6 -
D.
x > 11
Correct Answer: Option D
Explanation
(frac{1}{3}) (x + 1) – 1 > (frac{1}{5})(x + 4) = (frac{x + 1}{3} – 1) > (frac{x + 4}{5})
(frac{x + 1}{3} – frac{x + 4}{5} -1) > 0
= (frac{5x + 5 – 3x – 12}{15})
2x – 7 > 15
2x > 22 = x > 11
There is an explanation video available below.