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2 years ago

1x -8 < 2x + 1 What is the largest integer value that makes this inequality true

Mathematics

1 answer:

professor190 [17]2 years ago

7 0

Answer:

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

1x - 8 < 2x + 1

Step 2: Solve for x

Simplify: x - 8 < 2x + 1
[Subtraction Property of Equality] Subtract x on both sides: -8 < x + 1
[Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
Rewrite: x > -8

∴ we see that any number x greater than -8 would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

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Topic: Algebra I

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