Question

Given the inequality -10x + y > 25, determine whether the following two ordered pairs are included in the solution set.

(0, 25)

(-4, 10)

Which of the following statements is true?

Question 5 options:

The point (0, 25) is a solution, but the point (-4, 10) is not a solution.


The point (0, 25) is not a solution, but the point (-4, 10) is a solution.


Both (0, 25) and (-4, 10) are solutions.


Both (0, 25) and (-4, 10) are not solutions.

Answer 1

The point (0, 25) is not a solution, but the point (-4, 10) is a solution.

Explanation:

You can graph the inequality and check. The first point (0, 25) is on the boundary line, but that line is NOT part of the solution set. The second point (-4, 10) is well inside the solution space.

(0, 25) is not a solution

(-4, 10) is a solution

_____

You can put the values into the inequality and see if a true statement results.

-10(0) +(25) > 25 . . . . False

-10(-4) +(10) > 25 . . . . true

The first point is NOT a solution; the second point IS a solution.