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Do Homework C Secure https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld 440994459&questionld-; 1&flushed-false;&cld-; Math 1300 FS2017 Homework: Homework 7 Score: 0.2 of 1 pt 21of28 (22 complete) 15.3.17 Let S and T be subsets of the universal set u. Draw an appropriate Venn diagram and use the given data to determine the number of elements in each basic region. n(S). 9, n(SUT)s 13, n(T)= 7, n(SUT)= 14 Choose the correct answer on the right. Region ' contains elements. IV in the Clear All

Explanation / Answer

n(S) = 9 n(S U T) = 13 n(T) = 7 n(S' U T') = 14

Using De-Morgan's law

n(S' U T') = n(S T)' = 14

n(S T) = n(S) + n(T) - n(S U T)

= 9 + 7 - 13

= 3

n(U) = n(S T) + n(S T)'

= 3 + 14 = 17

Region I has n(U) - n(S U T)

= 17 - 13

= 4 elements.

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