Is (2,10) a solution to this solution of inqualites? Y>3x+3,y>x+10 yes or no

To determine if the point \((2, 10)\) is a solution to the system of inequalities:

1. **Inequality 1: \( y > 3x + 3 \)**  
   Substituting \((2, 10)\) into this inequality:  
   \( 10 > 3(2) + 3 \)  
   \( 10 > 6 + 3 \)  
   \( 10 > 9 \), which is **true**.

2. **Inequality 2: \( y > x + 10 \)**  
   Substituting \((2, 10)\) into this inequality:  
   \( 10 > 2 + 10 \)  
   \( 10 > 12 \), which is **false**.

Since the second inequality is false, the point \((2, 10)\) is **not** a solution to the system of inequalities.

Would you like further clarification, or do you have any additional questions?

Here are 5 related questions:
1. How do you graph a system of inequalities?
2. What does it mean for a point to be a solution to an inequality?
3. How do you solve systems of linear inequalities?
4. What are the methods to check if a point is a solution for multiple inequalities?
5. How do boundary lines influence the solution region in a graph of inequalities?

**Tip:** Always substitute the point into each inequality separately to check if it satisfies all conditions.

Is (2,10) a solution to this system of inequalities? y > 3x + 3, y > x + 10

Learn how to check if the point (2, 10) satisfies the system of inequalities y > 3x + 3 and y > x + 10. This solution walks through the substitution method and explains the concepts of systems of inequalities, suitable for Grades 8-10.

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