Is (3,10) a solution to this system of inequalities? Y<x+8 and y<7x+5 yes or no?

Let's check if the point (3, 10) is a solution to the system of inequalities:

1. **First inequality**: \( y < x + 8 \)
   \[
   10 < 3 + 8 \implies 10 < 11
   \]
   This inequality is **true**.

2. **Second inequality**: \( y < 7x + 5 \)
   \[
   10 < 7(3) + 5 \implies 10 < 21 + 5 \implies 10 < 26
   \]
   This inequality is also **true**.

Since both inequalities are true for the point (3, 10), the answer is **yes**, (3, 10) is a solution to this system of inequalities.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you graph a system of inequalities?
2. What are the steps for solving inequalities involving two variables?
3. What happens if one inequality in a system is false for a point?
4. How do you check solutions for systems of inequalities graphically?
5. What is the significance of the boundary lines in inequalities?

**Tip**: Always test a point by substituting it into each inequality separately to verify if it satisfies the system.

Is (3,10) a solution to this system of inequalities? y < x + 8 and y < 7x + 5 yes or no?

Determine whether the point (3, 10) satisfies the system of inequalities y < x + 8 and y < 7x + 5. This solution covers the substitution method for solving systems of linear inequalities. Suitable for students in Grades 8-10.

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