Does the point (2,6) satifsy the inquaitly 5x+y<16? Yes or no?

To determine if the point \((2, 6)\) satisfies the inequality \(5x + y < 16\), we substitute \(x = 2\) and \(y = 6\) into the inequality:

\[
5(2) + 6 < 16
\]

Simplifying:

\[
10 + 6 < 16
\]

\[
16 < 16
\]

This statement is false, as \(16\) is not less than \(16\). Therefore, the point \((2, 6)\) **does not** satisfy the inequality \(5x + y < 16\).

Would you like further details or have any questions? Here are five related questions you might consider:

1. How do you test if a point satisfies an inequality in general?
2. What does the solution set of a linear inequality look like on a graph?
3. Can a point lie on the boundary of the inequality and still satisfy it?
4. How does changing the inequality sign affect the solution set?
5. What is the difference between strict inequalities and non-strict inequalities?

**Tip:** When testing a point against an inequality, substitute the coordinates into the inequality and check if the resulting statement is true or false.

Does the point (2, 6) satisfy the inequality 5x + y < 16? Yes or no?

Find out if the point (2, 6) satisfies the inequality 5x + y < 16 using substitution. This step-by-step solution demonstrates how to substitute the point into the inequality and interpret the results. Perfect for students in Grades 6-8 learning linear inequalities.

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