Question

7a +42 +8 < -10 + 9a -6 + 4a

Answer 1

a > 11

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
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

7a + 42 + 8 < -10 + 9a - 6 + 4a

Step 2: Solve for a

1. Combine like terms (a): 7a + 42 + 8 < -10 + 13a - 6
2. Combine like terms: 7a + 50 < 13a - 16
3. [Subtraction Property of Equality] Subtract 7a on both sides: 50 < 6a - 16
4. [Addition Property of Equality] Add 16 on both sides: 66 < 6a
5. [Division Property of Equality] Divide 6 on both sides: 11 < a
6. Rewrite: a > 11

Here we see that any value a greater than 11 would work as a solution to the inequality.