Did I do this right?

Solve the following inequality.

-5 > -5 - 3w

(-5 + 5) > (-5 + 5) - 3w

0 > 0 - 3w

(0 / 3w) > 0 (-3w / -3)

0 < w

w > 0

Yes those are the correct steps and answer, reverse the inequality sign when dividing or multiplying by a negative number.

way too many steps....

-5 > -5 - 3w
add 5+3w to both sides, addition does nothing to the inequality sign
3w > 0
divide by +3, no change in inequality sign needed
w > 0

To check if you solved the inequality correctly, we can go through the steps again and see if we end up with the same result.

Starting with the original inequality:
-5 > -5 - 3w

Let's simplify it step by step:

1. Add 5 to both sides of the inequality:
(-5 + 5) > (-5 + 5) - 3w
0 > 0 - 3w

2. Simplify the right side of the inequality:
0 > -3w

3. Divide both sides by -3 (remember to flip the inequality when dividing by a negative number):
(0 / -3) < (-3w / -3)
0 < w

So, the correct solution is 0 < w, which means w is greater than zero. It seems that you made a small error in your calculations. Instead of getting w > 0, you should have obtained 0 < w.