Question

Solve inequality for v​

Answer 1

Multiply each term by
-7/10 and simplify.

Inequality Form:
v< −28/5

Interval Notation:
(∞, −28/5)

Answer 2

`\displaystyle v > (-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

Explanation:

Step 1: Define

`\displaystyle (-10)/(7)v > 8`

Step 2: Solve for v

1. Divide both sides by
   `\displaystyle (-10)/(7)`:
   `\displaystyle v > (-28)/(5)`

Here we see that any value v greater than
`\displaystyle (-28)/(5)` would work as a solution to the inequality.