Math Problem Statement

Solve the inequality x ≤ 5.

Solution

The image contains the mathematical inequality:

x5x \leq 5

This means that xx can be any value less than or equal to 5. In interval notation, this is written as:

(,5](-\infty, 5]

Would you like a graph or further explanation?

Here are some related questions to expand your understanding:

  1. How do you graph the inequality x5x \leq 5 on a number line?
  2. What is the difference between x5x \leq 5 and x<5x < 5?
  3. How would you solve an inequality like 2x+392x + 3 \leq 9?
  4. How do inequalities change when multiplied or divided by negative numbers?
  5. What are some real-life applications of inequalities?

Tip: Always remember to reverse the inequality sign when multiplying or dividing by a negative number!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Number Line Representation
Interval Notation

Formulas

x ≤ a → (-∞, a] in interval notation

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 6-9