Is (3,10) a solution to the inequality 9x+4y>1?

To check if \((3, 10)\) is a solution to the inequality \(9x + 4y > 1\), we substitute \(x = 3\) and \(y = 10\) into the inequality:

\[
9(3) + 4(10) > 1
\]

Simplifying:

\[
27 + 40 > 1
\]

\[
67 > 1
\]

Since this is true, the point \((3, 10)\) **is** a solution to the inequality \(9x + 4y > 1\).

Would you like further details on solving inequalities or have any other questions?

Here are 5 related questions to expand on this topic:
1. What is the general solution to the inequality \(9x + 4y > 1\)?
2. How can inequalities be graphed on a coordinate plane?
3. How does solving inequalities differ from solving equations?
4. Can inequalities have multiple solutions, and how are they represented?
5. What are the methods for solving systems of inequalities?

**Tip:** When testing a point in an inequality, always substitute the values into the original inequality and check if the resulting statement is true.

Is (3,10) a solution to the inequality 9x + 4y > 1?

Explore whether the point (3,10) satisfies the linear inequality 9x + 4y > 1 by using the substitution method. This step-by-step guide explains key algebraic concepts related to inequalities. Suitable for students in Grades 7-9.

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