INEQUALITIES 1

Solve for x and locate the answer on a number line. 2x – 1 ≤ x + 5 ≤ 6x    

Solution

2x – 1 ≤ x + 5 and  x + 5 ≤ 6x

2x – x ≤ 1+ 5 and  5 ≤ 6x - x

x ≤ 6 and  5 ≤ 5x (divide by 5 both sides)

x ≤ 6 and  1 ≤ x

x ≤ 6 and  x ≥ 1 

the diagram:

TRY THIS...........

Solve for x and locate the answer on a number line: 2x – 1 ≤ x + 9 ≤ 4x