Respuesta :

Space

Answer:

[tex]\displaystyle f < \frac{-45}{7}[/tex]

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

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle -42 > 7f + 3[/tex]

Step 2: Solve for f

  1. [Subtraction Property of Equality] Subtract 3 on both sides:                        [tex]\displaystyle -45 > 7f[/tex]
  2. [Division Property of Equality] Divide 7 on both sides:                                  [tex]\displaystyle \frac{-45}{7} > f[/tex]
  3. Rewrite:                                                                                                             [tex]\displaystyle f < \frac{-45}{7}[/tex]

Topic: Algebra I

Unit: One-Variable Equations