Question

(1 point) The players on a soccer team wear shirts, with each player having one of the numbers 1, 2, ..., 11 on their backs. The set A contains players with even numbers on their shirts. The set B comprises players wearing an odd number less than 7. The set C contains the defenders, which are those wearing numbers less than 6. Select the correct set that corresponds to each of the following. Part a) A∩(B∪C) A. {1,2,3,4,5} B. ∅ C. {1,3,5} D. {2,4} E. {2} Part b) (A∩Bc)∪(B∩C)c A. {6,7,8,9,11} B. {2,4,6,7,8,9,10,11} C. {2,3,4,5,6,8,10} D. {1,2,3,4,5,6,8,10} E. {6,7,8,10,11}

Answer 1

B is the answer, hope it is right! Have a great day!

Explanation:

Answer 2

Part a) D.

Part b) B.

Explanation:

A = {2, 4, 6, 8, 10}

B = {1, 3, 5}

C = {1, 2, 3, 4, 5}

Part a)

A∩(B∪C) =

= {2, 4, 6, 8, 10} ∩ {1, 2, 3, 4, 5}

= {2, 4}

Answer: D.

Part b)

(A∩Bc)∪(B∩C)c =

= ({2, 4, 6, 8, 10}∩{2, 4, 6, 7, 8, 9, 10, 11}) ∪ ({1, 3, 5}∩ {1, 2, 3, 4, 5})c

= {2, 4, 6, 8, 10} ∪ {1, 3, 5}c

= {2, 4, 6, 8, 10} ∪ {2, 4, 6, 7, 8, 9, 10, 11}

= {2, 4, 6, 7, 8, 9, 10, 11}

Answer: B