Final answer:
The point (4,7) does not make the inequality y ≥ 10x + 2 true, because when substituting the point into the inequality, we get 7 ≥ 42, which is a false statement.
Step-by-step explanation:
To determine if the point (4,7) makes the inequality y ≥ 10x + 2 true, we need to substitute the x and y values from the point into the inequality and see if the resulting statement is true.
Substituting x = 4 and y = 7 gives us:
7 ≥ 10(4) + 2
7 ≥ 40 + 2
7 ≥ 42
This statement is false, because 7 is not greater than or equal to 42.The inequality given is y >= 10x + 2. To check if the point (4,7) satisfies this inequality, substitute the values of x and y into the inequality. We have 7 >= 10(4) + 2, which simplifies to 7 >= 42. Since this is false, the correct answer is (b) False.