Math Problem Statement

x < 5. Select all of the following values that x could take: 7, 2, 0, 5, -1.

Solution

The inequality given is x<5x < 5. This means xx must take values strictly less than 5.

The provided values are 7,2,0,5,17, 2, 0, 5, -1. Let us evaluate each:

  1. 77: Not valid because 7>57 > 5.
  2. 22: Valid because 2<52 < 5.
  3. 00: Valid because 0<50 < 5.
  4. 55: Not valid because 555 \not< 5 (equality doesn't satisfy the strict inequality).
  5. 1-1: Valid because 1<5-1 < 5.

Valid values for xx: 2,0,12, 0, -1.

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5 Related Questions:

  1. How would the solution change if the inequality were x5x \leq 5?
  2. What are the valid values if the condition were x>0x > 0?
  3. Can you explain the difference between strict inequalities (<< and >>) and non-strict inequalities (\leq and \geq)?
  4. How would the solution be different if negative numbers were not included in the list of possible values?
  5. What is the meaning of "strictly less than" in practical terms?

Tip:

When working with inequalities, always pay attention to whether the inequality is strict (<<, >>) or inclusive (\leq, \geq) to avoid small errors.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Comparison of numbers

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8