3(x-2)Grater that or equal to 22

Question

solve the inequality,

2(3x-2) is grater or equail to 22

Answer 1

2(3x - 2) ≥ 22

Solve like a typical eqn

Distribute.

6x - 4 ≥ 22

Add 4 to each side.

3x ≥ 26

Divide by 3 on each side

x ≥ 26/3 or 8 2/3

A value of x that makes the inequality statement true is therefore any that is ≥ 9 1/3.
(Just remember that if dividing by a neg coefficient you have to reverse the inequality sign)

                                   0                       8 2/3
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