Read the two statements and choose the correct option.
I. The empty relation on $A = \{1, 2\}$ is symmetric and transitive.
II. The empty relation on $A = \{1, 2\}$ is reflexive.

Only ICorrect answerYour answerOnly IICorrect answerYour answerBoth I and IICorrect answerYour answerNeither I nor IICorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Symmetry and transitivity only demand something of pairs already in $R$ ; with none, nothing can fail. I is true.
Reflexive needs $(1, 1)$ and $(2, 2)$ , which are missing. II is false.

Worth noting

Reflexivity is the one property that asks for pairs to be present.

Ten questions from Relations & Functions, at your own pace.

Ten questions from Relations & Functions, at your own pace.

Read the two statements and choose the correct option.I. The empty relation on A={1,2}A = \{1, 2\}A={1,2} is symmetric and transitive.II. The empty relation on A={1,2}A = \{1, 2\}A={1,2} is reflexive.