17 ### Understanding Sets: Equivalence and Equality#### Problem Statement:Answer the following questions about the given sets.a. Are the sets equivalent? Explain.b. Are the sets equal? Explain.Given Sets:A = {7, 7, 7, 8, 8, 9, 10, 11}B = {11, 10, 9, 8, 7}#### Questions and Multiple Choice Answers:**a. Are the sets equivalent? Explain.**- **A.** The sets are equivalent because n(A) = n(B).- **B.** The sets are not equivalent because n(A) ≠ n(B).- **C.** The sets are equivalent because set A does not contain the exact same elements as set B.- **D.** The sets are not equivalent because set A does not contain the exact same elements as set B.**b. Are the sets equal? Explain.**- **A.** The sets are not equal because set A contains the exact same elements as set B.- **B.** The sets are not equal because n(A) ≠ n(B).- **C.** The sets are equal because set A contains the exact same elements as set B.- **D.** The sets are equal because n(A) = n(B).### Explanation:**Equivalence of Sets:**Equivalence of sets refers to whether two sets contain the same number of elements. Here:- **Set A:** {7, 7, 7, 8, 8, 9, 10, 11}, which actually simplifies to {7, 8, 9, 10, 11} because sets are collections of distinct elements.- **Set B:** {11, 10, 9, 8, 7}Count of distinct elements:- n(A) = 5 (after removing duplicates)- n(B) = 5So, the correct answer is:- **A.** The sets are equivalent because n(A) = n(B).**Equality of Sets:**Equality of sets means that both sets contain exactly the same elements, regardless of order or repetition:- Simplified Set A = {7, 8, 9, 10, 11}- Simplified Set B = {11, 10, 9, 8, 7}Both sets,

Equal Sets : Two sets A and B can be equal only if each element of set A is also the element of the…

Answer the following questions about the given sets. Are the sets equivalent? Explain. a. b. Are the sets equal? Explain. A={7, 7, 7, 8, 8, 9, 10, 11) B={11, 10, 9, 8, 7) a. Are the sets equivalent? Explain. O A. The sets are equivalent because n(A) = n(B). OB. The sets are not equivalent because n(A) = n(B). OC. The sets are equivalent because set A does not contain the exact same elements as set B. OD. The sets are not equivalent because set A does not contain the exact same elements as set B. b. Are the sets equal? Explain. O A. The sets are not equal because set A contains the exact same elements as set B. OB. The sets are not equal because n(A) = n(B). OC. The sets are equal because set A contains the exact same elements as set B. O D. The sets are equal because n(A) = n(B).