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BECE Mathematics 2025 Paper

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Question : 7

Total: 40

Solve:

3(x-5) > 15-4(8-x)

.

$x < -32$
$x < -2$
$x < 2$
$x < 32$

Solution:

Concept:

Solve the linear inequality by expanding, simplifying, and isolating

x

.

Explanation:

Expand both sides:

3(x-5) = 3x - 15

15 - 4(8-x) = 15 - 32 + 4x = -17 + 4x

So the inequality becomes:

3x - 15 > 4x - 17

Subtract

3x

from both sides:

-15 > x - 17

Add

17

to both sides:

2 > x

This means:

x < 2

Answer:

x < 2

Correct option: C

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