For what values of x is \;x-3/4 + \;x+1/8 ≥ 2 ?

Correct Answer is : x ≥≥≥ 7

Correct Answer is : x ≥≥≥ 7

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WAEC Mathematics 2024 Paper

Question : 29

Total: 50

\;\frac{x-3}{4}

\;\frac{x+1}{8}

\geq

2 ?

Solution:

Concept:

Solve a linear inequality with fractions by multiplying through by the least common multiple (LCM) of the denominators.

Explanation:

Given:

\frac{x-3}{4} + \frac{x+1}{8} \geq 2

The LCM of

4

8

, and

1

8

Multiply every term by

8

8\left(\frac{x-3}{4}\right) + 8\left(\frac{x+1}{8}\right) \geq 8(2)

Simplify:

2(x-3) + (x+1) \geq 16

2x - 6 + x + 1 \geq 16

3x - 5 \geq 16

Add

5

to both sides:

3x \geq 21

Divide both sides by

3

x \geq 7

Answer:

x \geq 7

Correct option: C.

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