a < -30/31
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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
Step-by-step explanation:
Step 1: Define
7a + 42 + 8 < -10 + 9a - 64a
Step 2: Solve for a
Combine like terms (a): 7a + 42 + 8 < -10 - 55aCombine like terms: 7a + 50 < -10 - 55a[Addition Property of Equality] Add 55a on both sides: 62a + 50 < -10[Subtraction Property of Equality] Subtract 50 on both sides: 62a < -60[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.