Question

solve inequality for v​

Answer 1

Answer:

$\displaystyle v > \frac{-28}{5}$

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

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{-10}{7}v > 8$

Step 2: Solve for v

1. Divide both sides by $\displaystyle \frac{-10}{7}$:                    $\displaystyle v > \frac{-28}{5}$

Here we see that any value v greater than $\displaystyle \frac{-28}{5}$ would work as a solution to the inequality.

Answer 2

Multiply each term by
-7/10 and simplify.

Inequality Form:
v< −28/5

Interval Notation:
(∞, −28/5)