Which numbers are included in the solution set of the inequality 10x + 20 > 50?

To solve the inequality \(10x + 20 > 50\), follow these steps:

1. **Subtract 20 from both sides:**

   \[
   10x + 20 - 20 > 50 - 20
   \]
   \[
   10x > 30
   \]

2. **Divide both sides by 10:**

   \[
   \frac{10x}{10} > \frac{30}{10}
   \]
   \[
   x > 3
   \]

So, the solution set of the inequality is \(x > 3\). This means any number greater than 3 is included in the solution set.

Would you like more details or have any questions about this? Here are some related questions:

1. What is the solution to the inequality \(5x - 7 > 18\)?
2. How would the solution change if the inequality was \(10x + 20 \geq 50\)?
3. Can you solve the inequality \(2x + 5 < 15\)?
4. What happens if we divide by a negative number in an inequality?
5. How do we graph the solution set \(x > 3\) on a number line?

**Tip:** When solving inequalities, always remember to reverse the inequality sign when multiplying or dividing both sides by a negative number.

Learn how to solve the inequality 10x + 20 > 50 with detailed step-by-step instructions. This problem involves solving linear inequalities and understanding the concept of inequality solutions. 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