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