Question

Part A: Write a system of inequalities that would produce the graph above.

a) x > 3 and y > 2
b) x < 3 and y < 2
c) x > 3 or y > 2
d) x < 3 or y < 2

Part B: Bonnie claims that (3,-2) is a solution to the system. Clyde claims that it is not a solution. Who is correct? Justify your answer.
a) Bonnie is correct, and Clyde is wrong because (3,-2) is in the shaded region.
b) Clyde is correct, and Bonnie is wrong because (3,-2) is not in the shaded region.
c) Both are correct; (3,-2) is a solution, but it's not a solution.
d) Cannot determine without more information.

Answer 1

The correct system of inequalities is x > 3 and y > 2. Bonnie is correct, and Clyde is wrong because (3,-2) is in the shaded region.

Step-by-step explanation:

Part A: The correct system of inequalities that would produce the graph above is a) x > 3 and y > 2. This means that x-values should be greater than 3 and y-values should be greater than 2. Both conditions need to be true for a point to be in the shaded region.

Part B: Bonnie is correct, and Clyde is wrong because (3,-2) is in the shaded region. Therefore, a) Bonnie is correct, and Clyde is wrong because (3,-2) is in the shaded region.