Question

Consider the following system of linear inequalities and corresponding graph: x < 5 y ≤ x y ≥ -3

Which of the following points is a solution to this system of linear inequalities?

Answer 1

(2, 1) is a solution to this system of linear inequalities.

Explanation:

To find the solution to this system of linear inequalities, you need to find the values of x and y that satisfy all of the given inequalities.

The first inequality, x < 5, means that x must be less than 5. The second inequality, y ≤ x, means that y must be less than or equal to x. The third inequality, y ≥ -3, means that y must be greater than or equal to -3.

The graph of this system of linear inequalities would be a region on the coordinate plane that represents all of the points that satisfy all of the inequalities. The solution to this system of linear inequalities would be the set of all points within this region.

So, to find the solution to this system of linear inequalities, you need to find the values of x and y that satisfy all of the given inequalities. For example, the point (2, 1) satisfies all of the given inequalities, because 2 < 5, 1 ≤ 2, and 1 ≥ -3. Therefore, (2, 1) is a solution to this system of linear inequalities.

Answer 2

Answer: (4,4)

Step-by-step explanation: All coordinate points that exist within the shaded region satisfy all of the inequalities. The point (4,4) is within the shaded region.