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3 years ago

Solving Equations and inequalities

Mathematics

1 answer:

Tanya [424]3 years ago

5 0

Answer:

a > -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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

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

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Factors are: -3, 1 and 1 in which case:

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Solving Equations and inequalities ​

Solving Equations and inequalities