Question

Solving Equations and inequalities ​

Answer 1

a > -2

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

Distributive Property

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Alge bra I

• Terms/Coefficients

Explanation:

Step 1: Define

`\displaystyle 3a + 2 > (3a - 6)/(3)`

Step 2: Solve for a

1. [Multiplication Property of Equality] Multiply 3 on both sides:
   `\displaystyle 3(3a + 2) > 3a - 6`
2. [Distributive Property] Distribute 3:
   `\displaystyle 9a + 6 > 3a - 6`
3. [Subtraction Property of Equality] Subtract 3a on both sides:
   `\displaystyle 6a + 6 > -6`
4. [Subtraction Property of Equality] Subtract 6 on both sides:
   `\displaystyle 6a > -12`
5. [Division Property of Equality] Divide 6 on both sides:
   `\displaystyle a > -2`