To solve the inequality \( 3x - 8 > 4 \), follow these steps:

1. **Add 8 to both sides** to isolate the term with \( x \) on the left side:
   \[
   3x - 8 + 8 > 4 + 8
   \]
   \[
   3x > 12
   \]

2. **Divide both sides by 3** to solve for \( x \):
   \[
   \frac{3x}{3} > \frac{12}{3}
   \]
   \[
   x > 4
   \]

So, the solution is \( x > 4 \).

### 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 \( 2x + 5 > 7 \)?
2. How would you graph the solution \( x > 4 \) on a number line?
3. What happens if you multiply or divide an inequality by a negative number?
4. Can you solve \( 5x - 9 \leq 2x + 7 \)?
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.

Learn how to solve the linear inequality 3x - 8 > 4 with a detailed step-by-step explanation. This problem involves key algebraic concepts such as isolating variables and applying properties of inequalities, suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation