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JAMB Mathematics 2020 Paper

Question : 4

Total: 40

\frac{1}{3}

\frac{1}{5}

(x + 4)

Solution:

Concept:

Solve the linear inequality by clearing fractions and isolating

x

Explanation:

Start with the given inequality:

\frac{x+1}{3} - 1 > \frac{x+4}{5}

Multiply every term by the lowest common denominator,

15

15\left(\frac{x+1}{3}\right) - 15(1) > 15\left(\frac{x+4}{5}\right)

Simplify each term:

5(x+1) - 15 > 3(x+4)

Expand the brackets:

5x + 5 - 15 > 3x + 12

5x - 10 > 3x + 12

Subtract

3x

from both sides:

2x - 10 > 12

Add

10

to both sides:

2x > 22

Divide both sides by

2

x > 11

Answer:

x > 11

This corresponds to option D.

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