1/6p+14<20??????
Help explain please!
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
To solve the inequality 1/6p + 14 < 20, we can follow these steps:
Step 1: Subtract 14 from both sides of the inequality:
1/6p + 14 - 14 < 20 - 14
This simplifies to:
1/6p < 6
Step 2: Multiply both sides of the inequality by 6 to isolate p:
(1/6p) * 6 < 6 * 6
This simplifies to:
p < 36
So, the solution to the inequality is p < 36.