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 inequalit
Answer
A
The point (1, –5) satisfies the first inequality but not the second inequality.
B
The point (1, –5) lies in the shaded area of the first inequality, but not the second inequality.
C
The point (1, –5) lies on the dashed line of the second inequality, which is not inclusive.
D
The point (1, –5) is not in the solution set of the system of inequalities.
Explanation
The response states that (1, −5) satisfies the first inequality but not the second, so A applies. It says the point is in the first inequality’s shaded area but not included by the second, and explains that it lies on the second inequality’s non-inclusive dashed line, so B and C apply. It concludes that the point is not a solution to the system, so D applies.
AI-written and checked against the verified answer.