Math Problem Statement

Express the solution set x>3 in interval notation

Solution

The solution set x>3x > 3 in interval notation is expressed as:

(3,)(3, \infty)

This means that xx can take any value greater than 3, but not including 3 itself.

Would you like more details on this process or have any questions?

Here are 5 related questions to expand your understanding:

  1. How would you express x3x \geq 3 in interval notation?
  2. How would you express x<3x < 3 in interval notation?
  3. What is the interval notation for x5x \leq 5?
  4. Can you express the inequality 2<x72 < x \leq 7 in interval notation?
  5. How do we express all real numbers in interval notation?

Tip: When using interval notation, round brackets ()() indicate that an endpoint is excluded, while square brackets [][] indicate that an endpoint is included.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Interval Notation

Formulas

x > a is written as (a, ∞) in interval notation

Theorems

Interval notation principles: Round brackets () for excluding endpoints, square brackets [] for including endpoints

Suitable Grade Level

Grades 7-9