Math Problem Statement

Solve the inequality: x - 3 ≤ 9.

Solution

The inequality given in the image is:

x39x - 3 \leq 9

To solve for xx, follow these steps:

  1. Add 3 to both sides of the inequality to isolate xx: x3+39+3x - 3 + 3 \leq 9 + 3 Simplifying: x12x \leq 12

Thus, the solution to the inequality is:

x12x \leq 12

Would you like more details on this solution, or do you have any questions?

Here are 5 related questions:

  1. How would the solution change if it were x39x - 3 \geq 9?
  2. How do you solve inequalities involving multiplication or division by a negative number?
  3. What is the difference between solving equations and inequalities?
  4. How do you graph the solution x12x \leq 12 on a number line?
  5. What happens if you reverse the inequality sign when solving?

Tip: Always remember, when multiplying or dividing both sides of an inequality by a negative number, the inequality sign flips!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Inequalities

Formulas

x - 3 ≤ 9
x ≤ 9 + 3

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 6-8