Solving for inequalities
8p-13 < -2+7p and 20+4p< 2p+

8p−13<−2+7p and 20+4p<2p+14

8p−13<−2+7p

8p−13<7p−2(Simplify both sides of the inequality)

8p−13−7p<7p−2−7p(Subtract 7p from both sides)

p−13<−2

p−13+13<−2+13(Add 13 to both sides)

p<11

20+4p<2p+14

4p+20<2p+14(Simplify both sides of the inequality)

4p+20−2p<2p+14−2p(Subtract 2p from both sides)

2p+20<14

2p+20−20<14−20(Subtract 20 from both sides)

2p<−6

2p/2 < −6/2(Divide both sides by 2)

p<−3

So the answer to your question is:

P <11 and P < - 3