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Makovka662 [10]
2 years ago
13

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:
<u>Algebra I</u>

Equality Properties

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

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

1x - 8 < 2x + 1

<u>Step 2: Solve for </u><u><em>x</em></u>

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

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

---

Topic: Algebra I

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