Question

How do I solve this inequality?

Answer 1

x≥4

Explanation:

3x-3≥9

3x≥12

x≥12/3

x≥4

Answer 2

x ≤ - 2 or x ≥ 4

Explanation:

Inequalities of the type | x | ≥ a always have solutions in the form

x ≤ - a or x ≥ a

Thus for the given inequality

`(3x-3)/(9)` ≤ - 1 or
`(3x-3)/(9)` ≥ 1

Solving each inequality

`(3x-3)/(9)` ≤ - 1 ( multiply both sides by 9 )

3x - 3 ≤ - 9 ( add 3 to both sides )

3x ≤ - 6 ( divide both sides by 3 )

x ≤ - 2

or

`(3x-3)/(9)` ≥ 1 ( multiply both sides by 9 )

3x - 3 ≥ 9 ( add 3 to both sides )

3x ≥ 12 ( divide both sides by 3 )

x ≥ 4

Solution is x ≤ - 2 or x ≥ 4