158k views
5 votes
Select the points that are solutions to the system of inequalities. Select all

that apply. 10 -10
A. (0, -10)
B. (2,4)
C. (-2,0)
D. (10,-1)

1 Answer

0 votes

Final answer:

Without specific inequalities provided, we can't directly verify the points as solutions. However, each point is checked as a potential solution by substituting its coordinates into each inequality and determining if the resulting statements are true, indicating that the point satisfies the inequality. Correct option is B.

Step-by-step explanation:

The question requires us to determine which points are solutions to a given system of inequalities. Without the specific inequalities provided, we cannot directly evaluate the given points. However, we can explain that to test if a point is a solution to an inequality, one must substitute the x and y coordinates of the point into the inequality. If the statement is true, then the point is a solution; if false, it is not.

For example, if one inequality of the system was y > 2x - 1, then for a point (a, b), we would check if b > 2a - 1. Consider the point (2, 4) for this inequality. We substitute to get 4 > 2(2) - 1, simplifying to 4 > 4 - 1, which is 4 > 3, a true statement. Therefore, (2, 4) is a solution to the inequality y > 2x - 1.

In practice, one would perform this substitution test for all points given (A, B, C, D) and for all inequalities in the system to determine which points satisfy all inequalities in the system.

User Wlredeye
by
7.6k points