1/6p+14<20??????

Help explain please!

2 answers

1 / ( 6 p ) + 14 < 20 Subtract 14 to both sides

1 / ( 6 p ) + 14 - 14 < 20 - 14

1 / ( 6 p ) < 6 Multiply both sides by 6p

6 p * 1 / ( 6 p ) < 6 p * 6

1 < 36 p Divide both sides by 36

1 /36 < 36 p / 36

1 / 36 < p

that is equivalent of

p > 1 / 36
When p = 0

1 / p -> Infinity

One solution also p < 0

becouse when p < 0 then 1 / 6 p are negative and 1 / 6 p + 14 < 20

So the exact solutions are :

p < 0

and

p > 1 / 36