Answer
x ≥ -3
Work Step by Step
You have the inequality: 3(x-2) ≤ 6x+3 and you have to find the solution:
3(x-2) ≤ 6x+3 -distribute-
3x-6 ≤ 6x+3 -add 6 to both sides-
3x ≤ 6x+9 -subtract 6x from both sides-
-3x ≤ 9 -divide both sides and then reverse the sign because you are dividing by a negative number-
x ≥ -3