Question

Solve the inequality
5(p + 3) > 4p + 2

Answer 1

To solve the inequality \( 5(p + 3) > 4p + 2 \), follow these steps:

1. Distribute the 5 on the left side:
\[
5p + 15 > 4p + 2
\]

2. Subtract \( 4p \) from both sides:
\[
5p - 4p + 15 > 2
\]
Simplifying gives:
\[
p + 15 > 2
\]

3. Subtract 15 from both sides:
\[
p > 2 - 15
\]
This simplifies to:
\[
p > -13
\]

Thus, the solution to the inequality \( 5(p + 3) > 4p + 2 \) is:
\[
p > -13
\]