WAEC Mathematics 2017 Paper

Question : 11

Total: 49

Solve: -

\frac{1}{4}

\frac{3}{4}

\frac{1}{2}

Solution:

Concept:

A compound inequality means

\frac{3}{4}(3x-2)

must lie between

-\frac{1}{4}

and

\frac{1}{2}

So we solve both sides together using the same operations on all three parts.

Explanation:

Start with:

-\frac{1}{4} < \frac{3}{4}(3x-2) < \frac{1}{2}

Multiply every part by

4

to clear the fractions:

-1 < 3(3x-2) < 2

Expand the middle bracket:

-1 < 9x - 6 < 2

Add

6

to all three parts:

5 < 9x < 8

Divide all three parts by

9

\frac{5}{9} < x < \frac{8}{9}

This means

x

is greater than

\frac{5}{9}

and less than

\frac{8}{9}

Answer:

\frac{5}{9} < x < \frac{8}{9}

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