Question

the diagram shows the relationship between two sets. a.use the diagram to write a statement beginning with the word \all,\ \some,\ or
o\ that illustrates the relationship between the sets b.determine if the statement in part (a) is true or false. if it is false, write its negation. a. choose the correct statement below that illustrates the relationship between the sets a. no humans are mammals. b. all mammals are humans. c. all humans are mammals. d. some mammals are humans. e. some humans are mammals.

Explanation:

The diagram shows the set of mammals is inside the set of humans, meaning all elements of the mammals set are part of the humans set. In reality, humans are a subset of mammals, but based on the diagram's incorrect representation, the statement "All mammals are humans" is what the diagram implies. This statement is false as there are many non - human mammals. Its negation is "Some mammals are not humans".

Answer:

a. B. All mammals are humans
b. False. Some mammals are not humans