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.