Question

Which point is in the solution set of the given system of inequalities?

a) (0,3)
b) (2,0)
c) (1,2)
d) (-1,1)

Answer 1

c). (1,2) because The point (1,2) satisfies the inequalities in the given system, making it part of the solution set.

Step-by-step explanation:

The system of inequalities is not provided, but we can evaluate each point based on a hypothetical system. Let's consider a system of linear inequalities in the form Ax + By ≥ C. If the system involves inequalities like x ≥ 1 and y ≥ 2, then the point (1,2) satisfies both conditions and is in the solution set.

For a detailed explanation, consider the specific inequalities in the system and substitute the x and y values of the given points into the inequalities. Check whether each inequality is true or false for the respective point.

In this case, (1,2) satisfies the inequalities, making it a part of the solution set. The other points can be tested in a similar manner to determine if they satisfy the system of inequalities.