Question

-9x - 3 > 51

Answer 1

x<6

Answer 2

x<-6

Answer 3

First, add 3 to both sides
-9x > 54
Now divide both sides by -9, but be careful when you divide an inequality by a negative number, because when you multiply or divide an inequality by a negative number, the inequality sign changes direction.
-9x/-9 < 54/-9
x < 6

Answer 4

These can be tricky. Just be sure to do the same thing to both sides and, if you're multiplying or dividing both sides by a negative value, switch the sign.
So:
-9x - 3 > 51
We need to isolate "x" so let's add 3 to both sides.
-9x > 54
Then we need to divide both sides by -9, but remember to switch the sign since we're dividing by a negative.
x < 54/(-9)
x < -6

hope that's helpful! (it's my first day on the site!)