Is (9,10) a solution to this solution of inequalities? Y<10 and 9x-8y<-10 yes or no?

To determine if \((9, 10)\) is a solution to the system of inequalities:

1. **Check the first inequality**:  
   \( y < 10 \)

   Substitute \( y = 10 \):
   \[
   10 < 10
   \]
   This is **false**, so the point does **not** satisfy this inequality.

Since the point fails to satisfy one of the inequalities, \((9, 10)\) is **not a solution** to the system of inequalities.

Would you like more details or have any questions?

### Follow-up questions:
1. What is the solution to the inequality \( 9x - 8y < -10 \) with \( (x, y) = (9, 10) \)?
2. How do you determine if a point lies in the solution region of a system of inequalities?
3. What are some methods to graph systems of inequalities?
4. Can a point satisfy one inequality but not the other in a system of inequalities?
5. How does changing the inequality from \( y \leq 10 \) to \( y < 10 \) affect the solution?

**Tip:** Always check each inequality in a system individually to determine if the point satisfies all conditions.

Is (9,10) a solution to this system of inequalities? Y<10 and 9x-8y<-10 yes or no?

Determine if the point (9, 10) is a solution to the system of inequalities y < 10 and 9x - 8y < -10. This problem involves checking inequalities using substitution and is suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation