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!