Question

The solution to 4p+2<2(p+5)
show work plzz
realy need helpp

Answer 1

`4p+2<2(p+5)\qquad\text{divide both sides by 2}\\\\(4p)/(2)+(2)/(2)<(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}`

Answer 2

p<4

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