A Fraction Inequality
Source:
June 13, 2009
inequalities
Problem Statement
The numerator of a fraction is 6x \plus{} 1, then denominator is 7 \minus{} 4x, and can have any value between \minus{}2 and , both included. The values of for which the numerator is greater than the denominator are:
(A)\ \frac{3}{5} < x \le 2\qquad
(B)\ \frac{3}{5} \le x \le 2\qquad
(C)\ 0 < x \le 2\qquad \\
(D)\ 0 \le x \le 2\qquad
(E)\ \minus{}2 \le x \le 2