2. Let set A be a subset of the universal set U. Determine all conditions that must hold for the following to be true. AUU=0 3. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for U BN (AUC). B 4. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for (CUB)N(A–C). U C B SHOW ALL YOUR WORK! 1. Let sets X, Y, and Z be subsets of the universal set U. Using Venn diagrams, demonstrate if the following statement is true or false. Make your case CLEAR whether the statement is true or false and why. Y-(XNZ)=(X-Y)U(X-Z) U 'Z Y U ✗ Y N 'Z

The symmetric difference of set A and B, denoted by A∆B, is the set containing elements in eitherA or B, but not in both A and B. Answer the followings:

The Venn diagram shows sets A, B, C, and the universal set U. Shade (A'U B') n C on the Venn diagram. U -B O X Ś

Sets A, B, and C are subsets of the universal set U. These sets are defined as follows. U={1,2, 3, 4, 5, 6, 7, 8, 9 }: A = {1, 6, 7, 8, 9 } B = {1,3, 4, 7, 9 } C= {4, 5, 6, 7 } Find (AN B)'U C'. Write your answer in roster form or as Ø. (4n B) U C = | Explanation Check O2021 McGraw-Hill Education All Rights Re O Type here to search