Math Problem Statement

8 > x ≥ 4

Solution

The inequality in the image reads:

8>x48 > x \geq 4

This means that xx is greater than or equal to 4, but less than 8.

In interval notation, the solution would be:

x[4,8)x \in [4, 8)

This represents all values of xx such that xx is at least 4 but strictly less than 8.

Would you like more details on how to solve or interpret such inequalities?

Here are five related questions:

  1. What is the difference between strict and non-strict inequalities?
  2. How do you graph this inequality on a number line?
  3. What would happen if the inequality was reversed?
  4. How do you solve compound inequalities like this one?
  5. How do you express this inequality in set-builder notation?

Tip: Always pay close attention to the inequality symbols. A strict inequality (>) excludes the endpoint, while a non-strict inequality (≥) includes the endpoint.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Inequalities
Algebra

Formulas

Interval Notation

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 7-9