Does (1,9) make the inequality y<8x+1 true?

To check if the point \((1, 9)\) makes the inequality \(y < 8x + 1\) true, substitute \(x = 1\) and \(y = 9\) into the inequality.

1. Start with the inequality:
   \[
   y < 8x + 1
   \]
2. Substitute \(x = 1\):
   \[
   y < 8(1) + 1
   \]
   \[
   y < 8 + 1
   \]
   \[
   y < 9
   \]
3. Now, substitute \(y = 9\) into the inequality:
   \[
   9 < 9
   \]
This is false because 9 is not less than 9. Therefore, the point \((1, 9)\) does **not** make the inequality \(y < 8x + 1\) true.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you check if a point satisfies an inequality?
2. What happens if the inequality is \(y \leq 8x + 1\)?
3. How do you graph linear inequalities like \(y < 8x + 1\)?
4. What is the slope-intercept form of a linear equation?
5. Can inequalities have infinite solutions?

**Tip:** Always double-check your inequality symbols; a small change can completely alter the solution set.

Check if the point (1,9) satisfies the inequality y < 8x + 1. This problem involves linear inequalities, substitution, and understanding of algebraic concepts. 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