Respuesta :
Answer:
p<4
Step-by-step explanation:
4p+2<2(p+5)
The first step is to distribute the 2
4p + 2 < 2p + 2*5
4p +2 < 2p + 10
Subtract 2p from each side
4p +2 < 2p + 10
4p-2p +2 < 2p-2p +10
2p+2 <10
Subtract 2 from each side
2p+2-2<10-2
2p<8
Divide each side by 2
2p/2 <8/2
p<4
[tex]4p+2<2(p+5)\qquad\text{divide both sides by 2}\\\\\dfrac{4p}{2}+\dfrac{2}{2}<\dfrac{2(p+5)}{2}\\\\2p+1<p+5\qquad\text{subtract 1 from both sides}\\\\2p<p+4\qquad\text{subtract p from both sides}\\\\\boxed{p<4}[/tex]
