# Math Help - Find the soulution set for each inequality...Help Please!

1. ## Find the soulution set for each inequality...Help Please!

3(12 - x) - 2 < 28

The answer i got was x < 30 over 36...Is this correct?

2. You have to carefully move things from one side to the other, you start with:

$3(12 - x) - 2 \leq 28$

1. Add 2 to both sides:

$3(12 - x) \leq 30$

2. Divide both sides by 3:

$12 - x \leq 10$

3. Subtract 12 from both sides:

$-x \leq -2$

Now, here's the hard part:

4. Divide both sides by -1 and FLIP the less than or equal symbol to be greater than or equal to. Whenever you divide or multiply by a negative number, you flip the inequality:

$x \geq 2$