Question

the diagram shows the relationship between two sets. a. use the diagram to write a statement beginning with the word “all,” “some,” or “no” 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. all college students are chemistry majors. b. some college students are chemistry majors. c. some college students are not chemistry majors. d. no college students are chemistry majors. b. is the statement in part (a) true or false? a. false. its negation is “all college students are chemistry majors.” b. false. its negation is “no college students are chemistry majors.” c. false. its negation is “some college students are not chemistry majors.” d. false. its negation is “some college students are chemistry majors.” e. true.

Explanation:

Step1: Analyze part a

The diagram shows that there are college - students who are not in the chemistry - majors set. So the statement "Some college students are not chemistry majors" is correct.

Step2: Analyze part b

The original statement in part a "Some college students are not chemistry majors" has a negation "All college students are chemistry majors". The original statement is true based on the diagram, so the statement "Its negation is 'All college students are chemistry majors'" is false.

Answer:

a. C. Some college students are not chemistry majors.
b. C. False. Its negation is "All college students are chemistry majors."