Let you be an integer such that -4<p</=3. i. List all the possible values of p. ii. Solve the inequality 27p<15p+108

Question

Let you be an integer such that -4<p</=3. i. List all the possible values of p. ii. Solve the inequality 27p<15p+108

Answer 1

i. The possible integer values of p are -3, -2, -1, 0, 1, 2, and 3.

ii. To solve the inequality 27p < 15p + 108, first, subtract 15p from both sides to get:

27p - 15p < 15p + 108 - 15p
12p < 108

Next, divide both sides by 12 to solve for p:

p < 9

So the solution to the inequality is p < 9.