INEQUALITIES 2

Find x if 4x – 12 ≤ x + 15 < 6x and show your solution on the number line.

Solution

4x – 12 ≤ x + 15 and  x + 15 < 6x

4x – x ≤ 12+ 15 and  15 < 6x - x

3x ≤ 27(divide by 3 both sides) and 15 < 5x (divide by5 both sides)

x ≤ 9 and  3 < x 

Hence x ≤ 9 and  x > 3

The diagram is as shown below:

TRY THIS……….

Find x if 7x – 24 < x + 45 ≤ 16x and show your solution on the number line.