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!