Distribute and Simplify: Distribute the 2 on the right side of the inequality to both terms inside the parentheses. 2p + 5 > 2 * p - 2 * 3 2p + 5 > 2p - 6Subtract p Terms: Subtract 2p from both sides of the inequality to get the terms with p on one side and constant terms on the other side. 2p + 5 - 2p > 2p - 6 - 2p 5 > -6Check Validity: Since there are no p terms left on either side of the inequality after simplification, we end up with a statement that does not involve p. This means that the inequality 5 > -6 is true for all values of p.Final Solution: The inequality is always true, so the solution set for p is all real numbers.

Resources

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

2 p+5>2(p-3)

View step-by-step help

Home

Math Problems

Algebra 1

Solve advanced linear inequalities

Full solution

2 p+5>2(p-3)

Distribute and Simplify: Distribute the $2$ on the right side of the inequality to both terms inside the parentheses.2p + 5 > 2 \times p - 2 \times 32p + 5 > 2p - 6
Subtract $p$ Terms: Subtract $2p$ from both sides of the inequality to get the terms with $p$ on one side and constant terms on the other side.2p + 5 - 2p > 2p - 6 - 2p5 > -6
Check Validity: Since there are no $p$ terms left on either side of the inequality after simplification, we end up with a statement that does not involve $p$ . This means that the inequality 5 > -6 is true for all values of $p$ .
Final Solution: The inequality is always true, so the solution set for $p$ is all real numbers.