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WAEC Mathematics 2013 Paper

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Question : 10

Total: 48

Solve the inequality:

\frac{2x-5}{2} < (2 - x)

x > 0
x < $\frac{1}{4}$
x > 2 $\frac{1}{2}$
x < 2 $\frac{1}{4}$

Solution:

Concept:

Solve the linear inequality by clearing the fraction and isolating

x

.

Explanation:

Multiply both sides by

2

to remove the denominator:

2x - 5 < 2(2 - x)

2x - 5 < 4 - 2x

Add

2x

to both sides:

2x + 2x < 4 + 5

4x < 9

Divide both sides by

4

:

x < \frac{9}{4}

Convert to a mixed number:

x < 2\frac{1}{4}

Answer:

D.

x < 2\frac{1}{4}

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