https://file.aiquickdraw.com/mathbot/file/1727959416746c9kzvtss.jpg

We are tasked with finding which ordered pair satisfies the inequality \( 7x - 3y > 10 \). Let's check each pair by substituting \( x \) and \( y \) values into the inequality:

### 1. For \( (2, 1) \):
\[
7(2) - 3(1) = 14 - 3 = 11
\]
Since \( 11 > 10 \), this pair satisfies the inequality.

### 2. For \( (1, 0) \):
\[
7(1) - 3(0) = 7 - 0 = 7
\]
Since \( 7 \not> 10 \), this pair does not satisfy the inequality.

### 3. For \( (1, -1) \):
\[
7(1) - 3(-1) = 7 + 3 = 10
\]
Since \( 10 \not> 10 \), this pair does not satisfy the inequality.

### 4. For \( (3, 4) \):
\[
7(3) - 3(4) = 21 - 12 = 9
\]
Since \( 9 \not> 10 \), this pair does not satisfy the inequality.

Thus, the correct answer is the pair **(2, 1)**.

Would you like more details on any step or have further questions?

Here are five related questions:
1. How do we solve linear inequalities with two variables?
2. What is the difference between solving equations and inequalities?
3. How do you graph the solution to a linear inequality?
4. Can a solution to an inequality be on the boundary line?
5. How do we solve systems of inequalities?

**Tip**: When testing points in inequalities, always substitute both variables and simplify carefully to ensure the correct comparison!

Which ordered pair is a solution to the inequality 7x - 3y > 10?

Learn how to solve the inequality 7x - 3y > 10 by checking ordered pairs. This problem explores key algebraic concepts, including inequalities and the substitution method. 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