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

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.