Determine whether the statement below is true or false. If ACB and dEB, then dEA

If A, B, C are sets then the law (An B) UC = (ANC) U (BNC) is a distributive law. Select one: O True O False

Use direct proofs

Let X = {3, 4, 5, 6} and let Y = {2, 4, 5, 6}. Which one of the following statements is true? O|X |Y| and X = Y. O|X| = |Y| and X ‡Y. O|X = Y and X = Y. O|X |Y| and X ‡ Y.

Help please.

Determine which pairs of statements are equivalent. Select all that apply. a) If it is Sunday, then I go to the park. b) If I go to the park, then it is Sunday. c) If I do not go to the park then it is not Sunday. d) If it is not Sunday, then I do not go to the park a and d a and b c and d a and c b and c b and d

Express the following statement in "if...then" form. Then write the statement's converse, inverse, contrapositiv No dirt is sufficient for no cleaning. Write the statement in "if...then" form. Choose the correct answer below. O A. If there is dirt, then there is cleaning. OB. If there is no dirt, then there is cleaning. O C. If there is no cleaning, then there is no dirt. If there is no dirt, then there is no cleaning. O E. If there is dirt, then there is no cleaning. O D. OF. If there is cleaning, then there is dirt. Write the converse of the statement. Choose the correct answer below. O A. If there is cleaning, then there is no dirt. O B. If there is cleaning, then there is dirt. O C. If there is no cleaning, then there is dirt.

Write the converse, inverse, and contrapositive. Indicate as best as you can which among the statement, its converse, its inverse, and its contrapositive are true and which are false. Give a counterexample for each that is false. V Integers d, if 6/d is an integer then d = 3.

A={a,b} B={1,2,3} Select the false statement. O IA×B|=5 O AN A? = Ø SESUE O (b,3)EA×B O (b, a) E A?

?? this is not true and incomplete