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

a > 11

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 - 6 + 4a

Step 2: Solve for a

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

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