Question

Solving Equations and inequalities ​

Answer 1

Answer:

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

Step-by-step explanation:

Step 1: Define

$\displaystyle 3a + 2 > \frac{3a - 6}{3}$

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:                                 $\displaystyle a > -2$