Question

The system of inequalities graphed here is __________. A) inconsistent. B) indeterminate. C) consistent and dependent. D) consistent and independent.

Answer 1

ANSWER

A) Inconsistent

EXPLANATION

If a system of equations has at least one solution, it is said to be consistent.

If the the system has a unique solution, then it is consistent and independent.

If the the system has infinitely many solutions, then it is consistent and dependent.

If the system of equations has no solution at all, then it is said to be inconsistent.

From the graph above, the two straight lines do not intersect because they are parallel and have different y-intercepts.

Since the two lines never meets, there is no solution for the system of equations they represent.

The correct choice is A.