To check if the point $(4, 10)$ satisfies the inequality $y \geq 2x + 2$, we substitute the coordinates of the point into the inequality.

• $x = 4$
• $y = 10$

Substitute into the inequality:

$10 \geq 2(4) + 2$

Simplify the right-hand side:

$10 \geq 8 + 2$

$10 \geq 10$

Since $10 \geq 10$ is true, the point $(4, 10)$ satisfies the inequality.

Summary:

Yes, the point $(4, 10)$ makes the inequality $y \geq 2x + 2$ true.

Would you like more details or have any other questions?

Here are some related questions you might find interesting:

1. How can we graph the inequality $y \geq 2x + 2$?
2. What happens if the inequality changes to $y > 2x + 2$?
3. How do you check if a point satisfies a system of inequalities?
4. What does the inequality $y \geq 2x + 2$ represent geometrically?
5. How do you solve inequalities involving two variables algebraically?

Tip: When checking if a point satisfies an inequality, always substitute the coordinates into the inequality and simplify to see if it holds true.