Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Click and drag the given steps to their corresponding step number to prove the given function. (BU C) - AS (B- A) U (C- A) Step 1 This means that xE (B U C) and xe A. Step 2 This means that x E (B U C). Step 3 Then either X E B or X E C. Therefore, XEB - A or XE C - A. Step 4 Suppose x E (B U C) - A. Step 5 We have shown that X E (B - A) U (C - A). ResetCheck my work Match each of the given combinations of sets A, B, and Cto its corresponding Venn diagram. An (BUC) N AnBoc (A - B)U(A - C) U(B - C) Match each of the options above to the Items below.Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Click and drag the given steps to their corresponding step number to prove the given statement. AUBEAUBUC. Step 1 x is an element of both A and B. Step 2 Therefore, x is in AU BUC by definition of union. Step 3 Then x E A or X E B by definition of union. Therefore, x is in A or in B or in C Step 4 by the addition rule. Assume X E A U B. ResetCheck my Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Find the truth set of each of the given predicates if the domain is a set of integers. AX): x2 =2 Multiple Choice O ( V2, V-2} O O ( 2 ]Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider a set A. If A = {0, a), then find AS. Multiple Choice O {(0, 0, 0), (0, 0, a), (0, a, 0), (0, a, a), (a, 0, 0), (a, 0, a), (a, a, O), (a, a, a)] O [(0, 0, 0), (a, 0, a), (0, a, 0), (0, a, a), (a, 0, 0), (a, 0, a), (a, a, 0), (a, a, a)] O {(0, 0, a). (0, 0, a), (0, a, a), (a, a, a), (a, 0, 0), (a, 0, a), (a, a, O), (a, a, a] O {(0, 0, 0), (0, 0, a), (0, a, 0), (a, a, a), (a, 0, 0), (a, 0, a), (a, a, 0), (a, a, a)]