Question

Solve and write and answer in interval nation.

5n - 13 < 4n - 10

Answer 1

(-∞, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients
• Interval Notation - [Brackets] mean inclusion, (Parenthesis) means exclusion

Explanation:

Step 1: Define

5n - 13 < 4n - 10

Step 2: Solve for n

1. [Subtraction Property of Equality] Subtract 4n on both sides: n - 13 < -10
2. [Addition Property of Equality] Add 13 on both sides: n < 3

Here we see that any value n smaller than 3 would work as a solution to the inequality.

∴ our interval is (-∞, 3)