To solve the inequality:

\[
2x - 7 > 3
\]

### Step-by-Step Solution
1. **Add 7** to both sides to isolate the term with \( x \):
   \[
   2x > 3 + 7
   \]
   \[
   2x > 10
   \]

2. **Divide by 2** to solve for \( x \):
   \[
   x > \frac{10}{2}
   \]
   \[
   x > 5
   \]

### Solution
The solution is:
\[
x > 5
\]

Would you like more details or have any questions?

---

1. How do inequalities change if both sides are multiplied by a negative number?
2. What are the different types of inequalities?
3. How can you represent \(x > 5\) on a number line?
4. How do inequality solutions differ from equation solutions?
5. How can compound inequalities be solved?

**Tip:** When solving inequalities, remember that multiplying or dividing by a negative number reverses the inequality sign.

Learn how to solve the inequality 2x - 7 > 3 with a detailed step-by-step solution. This problem covers key algebraic concepts, including the addition and division 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