How do you solve the compound inequalities $4p + 1 > −11$ or $6p + 3 < 39$ ?

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Answer 1 · 2018-07-30T20:35:41

$pgt-3$ or $plt6$

In both instances, we want to isolate the variable. Let's start with our first inequality

$4p+1> -11$

Let's start by subtracting $1$ from both sides to get

$4p> -12$

Lastly, we divide both sides by $4$ to get

$p> -3$

Now, let's tackle the second inequality

$6p+3lt39$

Let's subtract $3$ from both sides to get

$6plt36$

Lastly, we can divide both sides by $6$ to get

$plt6$

Therefore, the solutions of this inequality are

$pgt-3$ or $plt6$

Hope this helps!

How do you solve the compound inequalities 4p + 1 > −114p + 1 > −11 or 6p + 3 < 396p + 3 < 39?