How do you solve for w? 7+6w≤2w-13

1 Answer
Dec 12, 2017

w≤-5

Explanation:

STEP ONE: Subtract 7 from each side. This is so because you want to make sure the variables are on their own sides and making the problem easier to solve.

7+6w≤2w-13

6w≤2w-20

STEP TWO: Subtract 2w from each side because you want to make sure the variables are on their own sides!

6w≤2w-20

4w≤-20

STEP THREE: Divide each side by 4 so the w can be on its own on the left side.

4w≤-20

w≤-5

Remember that if you're dividing by a number that is a negative number (ex: -2) in an inequality then flip the signs! This time, however, we divided with a number that is not negative so the signs are not flipped!