Question

Sample Response: Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.

What did you include in your response? Check all that apply.

The point (1, –5) satisfies the first inequality but not the second inequality.
The point (1, –5) lies in the shaded area of the first inequality, but not the second inequality.
The point (1, –5) lies on the dashed line of the second inequality, which is not inclusive.
The point (1, –5) is not in the solution set of the system of inequalities.

Answer 1

All four statements apply.