Question

–42 >7f +3 what is f

Answer 1

`\displaystyle f < (-45)/(7)`

General Formulas and Concepts:

Algebra I

Equality Properties

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

Terms/Coefficients

Explanation:

Step 1: Define

Identify.

`\displaystyle -42 > 7f + 3`

Step 2: Solve for f

1. [Subtraction Property of Equality] Subtract 3 on both sides:
   `\displaystyle -45 > 7f`
2. [Division Property of Equality] Divide 7 on both sides:
   `\displaystyle (-45)/(7) > f`
3. Rewrite:
   `\displaystyle f < (-45)/(7)`

Topic: Algebra I

Unit: One-Variable Equations