How many of the following points satisfy the inequality 2x-3y≤ -5?

A.  (0, -1)

B. (0, 1)

C. (-4, 0)

D. (4, 0)

Answers (1)

To check if a point satisfies the inequality, we can substitute each of the x and y values given in the choices to see which of them is correct.

(A) 2(0) + 3(-1) =< -5

-3 =< -5

This is incorrect so the point does not satisfy the expression

(B). 2(0) + 3(1) =< -5

3 =< -5

This one's also incorrect

(C). 2(-4) + 3(0) =< -5

-5 =< -5

This one is true since they are equal, so this point satisfies the equation

(D). 2(4) + 3(0) =< -5

11 =< -5

This one is incorrect

So the correct answer is C, (-4, 0)

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