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.