Question

Solve the inequality and graph it.
4(x-3)-6>18

Answer 1

To solve the inequality 4(x-3)-6 > 18, we will simplify the left side of the equation and then isolate the variable x.

First, distribute 4 to both terms inside the parentheses:
4(x-3)-6 > 18
4x - 12 - 6 > 18
4x - 18 > 18

Next, combine like terms:
4x - 18 > 18
4x > 36

Divide both sides by 4 to isolate the variable x:
4x/4 > 36/4
x > 9

Now we can graph the solution on a number line. We represent the solution as numbers greater than 9.