How do you solve for w? 7+6w≤2w-13

Answer 1

#w≤-5#

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!

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.