How do you solve this inequality,

-3y>-x-15?

Divide by -3 all the way through.

so, y>(1/3)x+5

Uh-oh,

You need to reverse the inequality sign when you multiply or divide both sides by a negative number!

should be:
y < (1/3)x + 5

To solve the inequality -3y > -x - 15, we will follow these steps:

Step 1: Divide both sides of the inequality by -3. Remember that whenever you divide or multiply both sides of an inequality by a negative number, the inequality sign flips.

-3y/-3 < (-x - 15) / -3

Simplifying the inequality gives us:

y < (x + 15)/3

So, the solution to the inequality is y < (x + 15)/3.