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WAEC Mathematics 2022 Paper

Question : 34

Total: 47

Solve

\; \frac{y+2}{4}

\; \frac{y-1}{3}

> 1

Solution:

Concept:

Solve a linear inequality by eliminating fractions using the LCM of the denominators.

Explanation:

The denominators are

4

and

3

, so the LCM is

12

Multiply every term on both sides by

12

12 \times \frac{y+2}{4} - 12 \times \frac{y-1}{3} > 12 \times 1

Simplify each product:

3(y+2) - 4(y-1) > 12

Expand the brackets:

3y + 6 - 4y + 4 > 12

Combine like terms:

-y + 10 > 12

Subtract

10

from both sides:

-y > 2

Divide both sides by

-1

and reverse the inequality sign:

y < -2

Answer:

y < -2

, which is option B.

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