Answer:
p > -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Explanation:
Step 1: Define
-3(3p - 1) < 7p + 51
Step 2: Solve for p
- Distribute -3: -9p + 3 < 7p + 51
- Add 9p to both sides: 3 < 16p + 51
- Subtract 51 on both sides: -48 < 16p
- Divide 16 on both sides: -3 < p
- Rewrite: p > -3
Here we see that any value p greater than -3 would work as a solution to the inequality.