How do you solve the inequality #3 (y - 9) > 15 + 3w#?

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Answer 1 · 2018-05-18T17:42:59

#y>w+14#

#y-14>w#

Let's start by distributing the #3# on the left side. Doing this, we get

#3y-27>3w+15#

Let's add #27# to both sides to get

#3y>3w+42#

Let's divide all terms by #3# to get

#y>w+14#

We have our inequality solved in terms of #y#, but we can also get it in terms of #w#. We can subtract #14# from both sides to get

#y-14>w#

Hope this helps!