Discrete Mathematics

Set Operations

Sets - Composition of Operations

         

What is

(A\B)(B\A)? ( A \backslash B ) \cup ( B \backslash A)?

If A={2,5,6,18,20},B={1,2,6,20,22},A=\{2,5,6,18,20\}, B=\{1,2,6,20,22\}, then which of the following is equal to ((AB)(BA))A?\left((A \setminus B) \cup (B \setminus A)\right) \cap A?

Details and assumptions

You may choose to read the summary page Set Notation.

Consider the ground set U={xx is a non-negative integer 9}U=\{x \mid x \mbox{ is a non-negative integer } \leq 9\} and let AA and BB be two subsets of U.U. If AcBc={8,9},A^c \cap B^c=\{8, 9\}, what is AB?\lvert A \cup B \rvert?

The sets A={12,14,16},B={13,15,17}A=\{12,14,16\}, B=\{13,15,17\} are subsets of a universal set UU. If AB=U,A \cup B=U, then what is the sum of the elements of the set ((AB)(ACB))((ACBC)(ABC))?\left((A \cap B) \cup (A^{C} \cap B)\right) \cup \left((A^{C} \cap B^{C}) \cup (A \cap B^{C})\right)?

Details and assumptions

You may choose to read the summary page Set Notation.

Suppose AA and BB are the following subsets of a universal set UU: A={1,3,5,10,13,23},B={2,4,6,14}.A=\{1,3,5,10,13,23\}, B=\{2,4,6,14\}. What is the number of elements of the set A((AB)(ABC))?A \setminus \left((A \setminus B) \cup \left(A \setminus B^{C}\right)\right)?

Details and assumptions

You may choose to read the summary page Set Notation.

×

Problem Loading...

Note Loading...

Set Loading...