To solve the inequality \( 1 + 2p > 15 \):

### Step 1: Subtract 1 from both sides
\[
1 + 2p - 1 > 15 - 1
\]
\[
2p > 14
\]

### Step 2: Divide both sides by 2
\[
p > \frac{14}{2}
\]
\[
p > 7
\]

### Final Answer:
\[
p > 7
\]

Would you like further details or have any other questions?

Here are 5 related questions:
1. Solve \( 3p - 4 \geq 11 \).
2. Solve the equation \( 2p + 5 = 15 \).
3. What is the solution to \( 4p + 1 < 9 \)?
4. Solve the compound inequality \( 1 + 2p > 15 \) and \( 3p - 4 < 8 \) simultaneously.
5. How would the inequality change if it were \( 1 + 2p \geq 15 \)?

**Tip:** Always reverse the inequality sign when multiplying or dividing by a negative number.

This webpage provides a detailed solution to the linear inequality 1 + 2p > 15, demonstrating key algebraic techniques for solving inequalities. The solution is broken down step-by-step, suitable for students in Grades 6-8, covering fundamental algebraic concepts like subtraction and division in inequalities.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation