Does the point (1,8) satisfy the inquality y>2x+2?

To determine if the point \((1, 8)\) satisfies the inequality \(y > 2x + 2\), we'll substitute the \(x\) and \(y\) values from the point into the inequality.

Given:
\[
y > 2x + 2
\]

Substitute \(x = 1\) and \(y = 8\):
\[
8 > 2(1) + 2
\]
\[
8 > 2 + 2
\]
\[
8 > 4
\]

Since \(8\) is indeed greater than \(4\), the point \((1, 8)\) satisfies the inequality \(y > 2x + 2\).

Would you like more details or have any questions? Here are five related questions you might find interesting:

1. What does the inequality \(y > 2x + 2\) represent graphically?
2. How would you determine if other points satisfy the inequality?
3. What would the inequality be if the point \((1, 8)\) did **not** satisfy it?
4. Can you explain how to solve inequalities like \(y > 2x + 2\) algebraically?
5. How does the line \(y = 2x + 2\) relate to the inequality \(y > 2x + 2\)?

**Tip:** When checking if a point satisfies an inequality, simply substitute the point's coordinates into the inequality and see if the resulting statement is true.

Does the point (1,8) satisfy the inequality y > 2x + 2?

Learn how to determine if the point (1, 8) satisfies the inequality y > 2x + 2 by using substitution. This problem explores key algebraic concepts like linear inequalities and substitution. Suitable for students in Grades 6-8.

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