Does (1,10) make the inequality y>6x+1 true?

To check if the point \((1, 10)\) makes the inequality \(y > 6x + 1\) true, we substitute \(x = 1\) and \(y = 10\) into the inequality and see if it holds.

The inequality is:

\[
y > 6x + 1
\]

Substitute \(x = 1\) into the equation:

\[
y > 6(1) + 1
\]
\[
y > 6 + 1
\]
\[
y > 7
\]

Now, substitute \(y = 10\):

\[
10 > 7
\]

Since \(10\) is indeed greater than \(7\), the inequality is **true**. Therefore, the point \((1, 10)\) satisfies the inequality \(y > 6x + 1\).

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How can we graph the inequality \(y > 6x + 1\)?
2. What is the slope and y-intercept of the equation \(y = 6x + 1\)?
3. How can you check if other points satisfy the inequality \(y > 6x + 1\)?
4. How do you solve a system of inequalities involving two variables?
5. What is the difference between strict inequalities (>) and non-strict inequalities (≥)?

**Tip**: When testing points in an inequality, substitute values carefully and always check if the condition holds after simplifying.

Does (1,10) make the inequality y > 6x + 1 true?

Learn how to determine if the point (1,10) satisfies the inequality y > 6x + 1. This problem involves key algebraic concepts, including solving inequalities and using 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