Question

problem 21. (lesson 2) select the venn diagram that represents this set of conditional statements. all chimney sweeps think black is their best color. marianne does not think black is her best color. therefore, marianne must not be a chimney sweep. a b c d e

Explanation:

Step1: Analyze the first statement

All chimney sweeps think black is their best color. So the set of chimney sweeps is a subset of the set of people who think black is their best color.

Step2: Analyze the second statement

Marianne does not think black is her best color. So Marianne is not in the set of people who think black is their best color.

Step3: Conclusion

Since chimney sweeps are in the set of people who think black is their best color and Marianne is not in that set, Marianne is not a chimney sweep.

Answer:

The Venn diagram should have a larger circle labeled "People who think black is their best color" and a smaller circle (or no circle if not applicable in the options) inside it labeled "Chimney sweeps", and Marianne should be outside the "People who think black is their best color" circle.