Question

Which of the following are solutions to the inequality below? Select all that apply.

-20 < -28/p -11
p=-7
p=2
p=4
p=1

Answer 1

Answer: p=4

Explanation:

`\displaystyle\\-20 < (-28)/(p) -11\\\\-20+11 < (-28)/(p) -11+11\\\\-9 < (-28)/(p)`

Multiply both parts of the equation by p:

`-9p < -28`

Divide both parts of the equation by -9:

`\displaystyle\\p > (28)/(9) \\\\p > 3(1)/(9)`

Hence, p=4