Math Problem Statement

3x-8>4

Solution

To solve the inequality 3x8>43x - 8 > 4, follow these steps:

  1. Add 8 to both sides to isolate the term with xx on the left side: 3x8+8>4+83x - 8 + 8 > 4 + 8 3x>123x > 12

  2. Divide both sides by 3 to solve for xx: 3x3>123\frac{3x}{3} > \frac{12}{3} x>4x > 4

So, the solution is x>4x > 4.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

  1. What is the solution set of the inequality 2x+5>72x + 5 > 7?
  2. How would you graph the solution x>4x > 4 on a number line?
  3. What happens if you multiply or divide an inequality by a negative number?
  4. Can you solve 5x92x+75x - 9 \leq 2x + 7?
  5. How would you check if a value satisfies an inequality?

Tip: Always reverse the inequality sign when multiplying or dividing both sides by a negative number.

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

Linear inequality manipulation

Theorems

Properties of inequalities (addition, division, multiplication)

Suitable Grade Level

Grades 7-9