Math Problem Statement

2x-7>3

Solution

To solve the inequality:

2x7>32x - 7 > 3

Step-by-Step Solution

  1. Add 7 to both sides to isolate the term with xx: 2x>3+72x > 3 + 7 2x>102x > 10

  2. Divide by 2 to solve for xx: x>102x > \frac{10}{2} x>5x > 5

Solution

The solution is: x>5x > 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>5x > 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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities

Formulas

Addition property of inequalities
Division property of inequalities

Theorems

Inequality properties

Suitable Grade Level

Grades 7-9