Math Problem Statement

Use set-builder notation to indicate set numbers as described.

The set of all real numbers greater than or equal to −2.8

Solution

The set of all real numbers greater than or equal to 2.8-2.8 in set-builder notation is:

{xRx2.8}\{ x \in \mathbb{R} \mid x \geq -2.8 \}

This reads as "the set of all xx in the set of real numbers such that xx is greater than or equal to 2.8-2.8."

Would you like more details or have any questions? Here are some related questions you might find interesting:

  1. How would you write the set of all real numbers less than 5 in set-builder notation?
  2. Can you express the set of all integers between 3-3 and 77 (inclusive) using set-builder notation?
  3. What is the difference between interval notation and set-builder notation for describing sets?
  4. How would you write the set of all positive even integers in set-builder notation?
  5. How can you express the set of all real numbers except 2.8-2.8 in set-builder notation?

Tip: Set-builder notation is a powerful tool for describing sets with specific properties or constraints, especially when working with infinite sets.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Real Numbers
Inequalities

Formulas

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Theorems

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Suitable Grade Level

Grades 9-10