Question

question
solve the following inequality for p. write your answer in simplest form.
6p - 2 < 5p + 1
answer attempt 1 out of 5
p <
submit answer

Explanation:

Step1: Subtract \(5p\) from both sides

To isolate the variable \(p\), we subtract \(5p\) from each side of the inequality \(6p - 2 < 5p + 1\). This gives us \((6p - 5p)- 2 <(5p - 5p)+ 1\), which simplifies to \(p - 2 < 1\).

Step2: Add 2 to both sides

Next, we add 2 to both sides of the inequality \(p - 2 < 1\) to solve for \(p\). So, \(p - 2 + 2 < 1 + 2\), which simplifies to \(p < 3\).

Answer:

\(p < 3\)