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JAMB Mathematics 2021 Paper

Question : 37

Total: 40

List all integers satisfying the inequality in -2 < 2x-6 < 4

Solution:

Concept:

Solving a combined inequality by isolating the variable in the middle.

Explanation:

Start with the given inequality

-2 < 2x - 6 < 4

Add

6

to all three parts to eliminate

-6

from the middle.

-2 + 6 < 2x - 6 + 6 < 4 + 6

This simplifies to:

4 < 2x < 10

Now divide all parts by

2

to solve for

x

\frac{4}{2} < \frac{2x}{2} < \frac{10}{2}

2 < x < 5

The integers strictly between

2

and

5

are

3

and

4

Answer:

The integers are

3

and

4

, which is Option D.

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