Inequalities - Jamb Mathematics Past Questions and Answers

Question 36:

• JAMB 1997

Let f(x) = 2x + 4 and g(x) = 6x + 7 here g(x) > 0. Solve the inequality \(\frac{f(x)}{g(x)}\) < 1

A. X < - \(\frac{3}{4}\)
B. X > - \(\frac{4}{3}\)
C. X > - \(\frac{3}{4}\)
D. X > - 12

Question 37:

• JAMB 1997

Find the range of values of x which satisfies the inequality 12x² < x + 1

A. -\(\frac{1}{4}\) < x < \(\frac{1}{3}\)
B. \(\frac{1}{4}\) < x < -\(\frac{1}{3}\)
C. -\(\frac{1}{3}\) < x < \(\frac{1}{4}\)
D. -\(\frac{1}{4}\) < x < - \(\frac{1}{3}\)

Question 38:

• JAMB 1998

If x is a positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\)

A. 0 > -\(\frac{1}{6}\)
B. X > 0
C. 0 < x < 4
D. 0 < x < \(\frac{1}{6}\)

Question 39:

• JAMB 1998

The shaded area represents

A. X \(\leq\) 0, y \(\leq\) 0, 2y + 3x \(\leq\) 6
B. X \(\geq\) 0, y \(\geq\) 3, 3x + 2y \(\geq\) 6
C. X \(\geq\) 2, y \(\geq\) 0, 3x + 2y \(\leq\) 6
D. X \(\geq\) 0, y \(\geq\) 0, 3x + 2y \(\geq\) 6

Question 40:

• JAMB 1999

the shaded portion in the graph is represented by

A. Y + x - x \(\leq\) 0, y - x \(\leq\) 0
B. Y - x + x, 3 \(\leq\) 0, y - x \(\geq\) 0
C. Y + x - 3 \(\geq\) 0, y + x \(\leq\) 0
D. Y - x + x3 \(\geq\) 0, y + x \(\leq\) 0