Question

Find the solution set of the inequality:
5p + 7 < 42
p < 7
p < 5
p < 2
p < 12

Answer 1

To solve the inequality \(5p + 7 < 42\), we can follow these steps:

1. Subtract 7 from both sides:
\[
5p < 42 - 7
\]
\[
5p < 35
\]

2. Divide both sides by 5:
\[
p < \frac{35}{5}
\]
\[
p < 7
\]

Thus, the solution set of the inequality \(5p + 7 < 42\) is \(p < 7\).

Among the provided options, the correct answer is:
- \(p < 7\)