How do you solve #4v+9<=5# or #-3v>=-6#?

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Answer 1 · 2018-06-06T16:35:34

#v<=-1# or #v<=2#

Let's start with our first inequality

#4v+9<=5#

Let's subtract #9# from both sides to get

#4v<=-4#

Lastly, dividing both sides by #4#, we get

#color(darkviolet)(v<=-1)#

Working on our second inequality

#-3v>=-6#

We can divide both sides by #-3#. Since we are dividing by a negative, the direction of the inequality flips. We now have

#color(darkviolet)(v<=2)#

Our solutions are in purple.

Hope this helps!