Question

Solve the inequality:
14.3 > 5(z- 2) - 2.1

Answer 1

z < 5.28

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
• Subtract Property of Equality

Explanation:

Step 1: Define

14.3 > 5(z - 2) - 2.1

Step 2: Solve for z

1. Distribute 5: 14.3 > 5z - 10 - 2.1
2. Subtract: 14.3 > 5z - 12.1
3. Add 12.1 on both sides: 26.4 > 5z
4. Divide 5 on both sides: 5.28 > z
5. Rewrite: z < 5.28

Here we see that any value z smaller than 5.28 would work as a solution to the inequality.