Math Problem Statement

2x-3>0

Solution

To solve the inequality 2x3>02x - 3 > 0, follow these steps:

  1. Add 3 to both sides of the inequality: 2x>32x > 3

  2. Divide both sides by 2: x>32x > \frac{3}{2}

So, the solution is x>32x > \frac{3}{2}.

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

Here are 5 related questions you might find helpful:

  1. How do you solve 3x+5>23x + 5 > 2?
  2. How do you solve 4x754x - 7 \leq 5?
  3. What happens when you divide or multiply inequalities by a negative number?
  4. How do you graph the solution of x>32x > \frac{3}{2} on a number line?
  5. How do you solve compound inequalities like 2x3>02x - 3 > 0 and x+47x + 4 \leq 7 simultaneously?

Tip: When solving inequalities, remember to reverse the inequality sign if you multiply or divide by a negative number!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Inequalities

Formulas

Inequality Solution Steps: Add/Subtract, Multiply/Divide

Theorems

Properties of Inequalities: Reversing the inequality when multiplying/dividing by a negative number

Suitable Grade Level

Grades 6-8