Question

Part A: Explain two mistakes that Larry made on his graph. Part B: Is the point (-2, -3) a solution for the inequality y is greater than or equal to -1/2x + 3? Justify your answer.

Answer 1

Larry made two mistakes on his graph and the point (-2, -3) is not a solution to the inequality.

Step-by-step explanation:

Part A: The graph of the inequality y >= -1/2x + 3 has a couple of mistakes made by Larry. First, the graph should actually be a solid line instead of a dotted line since the inequality includes an equal sign. Second, Larry should have shaded the region above the line to represent the values that are greater than or equal to the given equation, but he shaded the region below the line instead.

Part B: To determine if the point (-2, -3) is a solution to the inequality, substitute the x and y values into the inequality. Plugging in -2 for x and -3 for y, we get -3 >= -1/2(-2) + 3. Simplifying this, we have -3 >= 1 + 3, which becomes -3 >= 4. Since this is not true, the point (-2, -3) is not a solution to the inequality.