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3 years ago

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

Mathematics

1 answer:

Mamont248 [21]3 years ago

3 0

Answer:

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 - 55a
Combine 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.

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