Answer:
4p + 1 > −15 or 6p + 3 < 45
has solution any number.
The graph looks like this
<~~~~~~~~~~~~~~~~~~~~~~~~~~~>
---------(-4)---------(7)-------------
The shading is everywhere from left to right.
Step-by-step explanation:
Let's solve this first:
4p+1>-15
Subtract 1 on both sides:
4p>-16
Divide both sides by 4:
p>-4
or
6p+3<45
Subtract 3 on both sides:
6p<42
Divide both sides by 6:
p<7
So our solution is p>-4 or p<7
So let's graph that
~~~~~~~~~~~~~~~~~~~~~~~~~~~~O
O~~~~~~~~~~~~~~~~~~~~~~~~~~~~ p>-4
---------------------(-4)---------------------(7)--------------------
or is a key word! or means wherever the shading exist for either is a solution.
So this shading is everywhere.
The answer is all real numbers.
The final graph looks like this:
<~~~~~~~~~~~~~~~~~~~~~~~~~~~>
---------(-4)---------(7)-------------
The shading is everywhere from left to right.
This is the answer because the GCF of both numbers is 5.