Question

7a +42 +8< -10 + 9a -64a

Answer 1

a < -30/31

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 - 64a

Step 2: Solve for a

1. Combine like terms (a): 7a + 42 + 8 < -10 - 55a
2. Combine like terms: 7a + 50 < -10 - 55a
3. [Addition Property of Equality] Add 55a on both sides: 62a + 50 < -10
4. [Subtraction Property of Equality] Subtract 50 on both sides: 62a < -60
5. [Division Property of Equality] Divide 62 on both sides: a < -30/31

Here we see any number a less than -30/31 would work as a solution to the inequality.