Is

(2, 5)

a

solution

to

the

inequality

11*x* − 20*y* < –2

?

yes

no

Save answer yes or no

To check if \((2, 5)\) is a solution to the inequality \(11x - 20y < -2\), we can substitute \(x = 2\) and \(y = 5\) into the inequality and simplify:

\[
11(2) - 20(5) < -2
\]

Calculating each part:

1. \(11 \times 2 = 22\)
2. \(20 \times 5 = 100\)

Now substitute:

\[
22 - 100 < -2
\]

Simplify:

\[
-78 < -2
\]

This inequality is **true**, so the answer is **yes**. I'll save this answer as "yes."

Do you have any questions or would you like a detailed explanation of any step?

### Additional Questions:
1. How would you check if a point satisfies an equation instead of an inequality?
2. Can any other values for \(x\) and \(y\) satisfy \(11x - 20y < -2\)?
3. What would change if the inequality were \(11x - 20y \leq -2\)?
4. How would you graph the inequality \(11x - 20y < -2\)?
5. How does solving inequalities differ from solving equations?

**Tip:** Substitute values carefully and simplify in steps to avoid calculation errors.

Is (2, 5) a solution to the inequality 11*x − 20*y < −2?

Determine if the point (2, 5) satisfies the inequality 11x - 20y < -2 by substituting values and verifying the result. This solution involves algebra and inequality concepts, suitable for students in Grades 8-10.

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