Solve the compound inequality 2x − 3 < 7 and 5 − x ≤ 8. A. x ≥ 3 and x < 2 B. x ≥ 3 and x < 5 C. x ≥ −3 and x < 2 D. x ≥ −3 and x < 5

Given:

The compound inequality and .

To find:

The solution for the given compound inequality

Solution:

We have, compound inequality and .

For ,

Add 3 on both sides.

Divide 2 on both sides.

           ...(i)

For ,

Subtract 5 from both sides.

Divide both sides by -1. So, the sign of inequality is changed.

           ...(ii)

Using (i) and (ii), we get the solution of given compound inequality as

 and

Therefore, the correct option is D.

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

you can't solve x because it is 2 linear equation and you only have one equation