How do you solve #5x+1<=3x-9#?

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Answer 1 · 2018-06-07T20:09:32

#x<=-5#

We can start by subtracting #3x# from both sides. We get

#2x+1<=-9#

Next, let's subtract #1# from both sides to get

#2x<=-10#

Our last step would be to divide both sides by #2#. We get

#x<=-5#

Notice, we treated this inequality just like an equation. The operations with inequalities and equations are the same for the most part.

The only difference is when you multiply or divide both sides by a negative, the direction if the inequality flips.

Hope this helps!