Answer:
Option C.
Step-by-step explanation:
The given inequality is
[tex]2p+3>2(p-3)[/tex]
We need to find the solutions of this inequality.
Using distributive property we get
[tex]2p+3>2(p)+2(-3)[/tex]
[tex]2p+3>2p-6[/tex]
Subtract 2p from both sides.
[tex]2p+3-2p>2p-6-2p[/tex]
[tex]3>-6[/tex]
This inequality is free from variable p and it is true for any value of p.
The solution set of given inequality is the set of all real numbers. Therefore the correct option is C.
