Question

7-9x<12

Answer 1

You can solve an inequality the same way you solve an equation with one difference.
When you multiply or divide both sides by a negative number, the inequality sign changes direction.

Answer 2

You want to isolate x.
That means you need to get rid of the 7 from the left side first.
Step 1. Subtract 7 from both sides.
What do you get?

Answer 3

-9x<5

Answer 4

Great.
Remember, we're trying to isolate x.
Now I see that x is being multiplied by -9.
We need x alone, so we need to divide both sides by -9.
Remember the rule above that the inequality sign must flip when you multiply or divide by a negative number.

Answer 5

Great, thank you!