MathDB
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 x x can have any value between \minus{}2 and 2 2, both included. The values of x x 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