Answer:
![\displaystyle f < (-45)/(7)](https://img.qammunity.org/qa-images/2022/formulas/mathematics/college/axgv0wt2qrkq8o4b2f8cys.png)
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](https://img.qammunity.org/qa-images/2022/formulas/mathematics/college/e0nkqg3nxsvwh8kp50rged.png)
Step 2: Solve for f
- [Subtraction Property of Equality] Subtract 3 on both sides:
![\displaystyle -45 > 7f](https://img.qammunity.org/qa-images/2022/formulas/mathematics/college/w2ynkqcugg8vojsfampi7u.png)
- [Division Property of Equality] Divide 7 on both sides:
![\displaystyle (-45)/(7) > f](https://img.qammunity.org/qa-images/2022/formulas/mathematics/college/fy21xwz5rovf8chw139qiw.png)
- Rewrite:
![\displaystyle f < (-45)/(7)](https://img.qammunity.org/qa-images/2022/formulas/mathematics/college/axgv0wt2qrkq8o4b2f8cys.png)
Topic: Algebra I
Unit: One-Variable Equations