Question

–42 >7f +3 what is f

Answer 1

Answer:

f=6

Step-by-step explanation:

Simplifying

42 = 7f

Solving

42 = 7f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-7f' to each side of the equation.

42 + -7f = 7f + -7f

Combine like terms: 7f + -7f = 0

42 + -7f = 0

Add '-42' to each side of the equation.

42 + -42 + -7f = 0 + -42

Combine like terms: 42 + -42 = 0

0 + -7f = 0 + -42

-7f = 0 + -42

Combine like terms: 0 + -42 = -42

-7f = -42

Divide each side by '-7'.

f = 6

Simplifying

f = 6

Answer 2

Answer:

$\displaystyle f < \frac{-45}{7}$

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

Step-by-step 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:                                  $\displaystyle \frac{-45}{7} > f$
3. Rewrite:                                                                                                             $\displaystyle f < \frac{-45}{7}$

Topic: Algebra I

Unit: One-Variable Equations