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!

How do you solve 4v+9<=54v+9<=5 or -3v>=-6-3v>=-6?