What does -4p < 36 equal?

-4p < 36

/4 /4
_________
p< 9

You forgot the minus sign.

-4p < 36
p > -9

That's just shorthand for switching sides of the inequality:

-4p < 36
-36 < 4p
-9 < p

To solve the inequality -4p < 36, we need to isolate the variable p. Here's how we do it:

Step 1: Divide both sides of the inequality by -4. Since we are dividing by a negative number, the direction of the inequality symbol will change.

-4p / -4 > 36 / -4
p > -9

So the solution to the inequality is p > -9.