Please read each question and answer. For 3 and 4 select all that apply. For the

Question

Please read each question and answer. For 3 and 4 select all that apply. For the rest select A, B, or C.

Question 3. Which of the following properties hold for the relationship "Sister"? Select all that apply.

Question options:

-Reflexive

-Transitive

-Symmetric

-Antisymmetric

Question 4. Which of the following properties hold for the relationship ""? Select all that apply.

Question options:

- Reflexive

- Transitive

- Symmetric

- Antisymmetric

Question 8. Which of the following is total order?

A.{ <1,2>, <2,3>,<1,3>, <3,4>}

B. {<1,1>, <1,2>, <2,2>, <2,3>,<3,3>,<1,3>}

C. { <1,2>, <2,3>,<1,3>}

Question 9. Which of the following is total order?

Question options:

A. { <1,2>, <2,3>,<1,3>}

B.

C. { <1,2>, <2,3>,<1,3>, <3,4>}

Question 10. Which of the following is total order?

Question options:

A. { <a,a>, <b,b>,<c,c>, <d,c> }

B. { <a,a>, <b,b>,<c,c>, <d,d>, <a,b>,<b,c> }

C. { <a,a>, <b,b>,<c,c>,<b,c>,<b,a>,<c,a> }

-Reflexive

-Transitive

-Symmetric

-Antisymmetric

Explanation / Answer

3. sister satisfies

reflexive , transitive and symmetric

4. empty set is

reflexive , transitive , symmetric and anty symmetric

by the difenition of total order

A partial order is a total or linear order iff for all x and y in the set
either xRy or yRx is true.

8) C

9) A

10) C

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