Identify the antecedent in the following statement: "If x is an element of A or x is an element of B, then x is an element of (A U B)." %3D Select one: O a. x is not an element of AUB O b. x is an element of AUB O c.x is an element of A or x is an element of B O d. x is an element of A and x is an element of B O e. None of the other answers is the antecedent.

Q: et D=(4,7,9}, E=(4,6,7,8) and F = {3,5,6,7,9}. ist the elements in the set (DUE) NF.

A: Let D={4,7,9} E={4,6,7,8} and F={3,5,6,7,9}.

Q: . If an+2 = 6an+1 - 8an + 3 and ao = 3, a1 = 7, then a6

A: We have to solve given problem:

Q: Given a set S, the following are true statements regarding conv S: Select one or more: O a. None of…

A: Conv of a set S: Conv S is the smallest convex set containing S. Given: S=2, -7, 4, 0, 4, -2, 5, -5,…

Q: Classify each of the following statements as true or false. If false, tell why. 5 is a divisor of…

A: We need to classify each of the following statements as true or false. If false, tell why. 1.5 is a…

Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

A:

Q: Let U = {0,1,3,5,6,7}, A = {0,3,5,7}, B = {0,3,5,6,7}, and C = {0,5,6}. Find each of the following:…

A: A set is defined as a collection of  various well defined distinct objects or entities which may be…

Q: If P = {1, 2}, form the set P × P × P.

A:

Q: Simplify the given expression. Cite a property from each expression     A − (A ∩ B)   ∩ B − (A ∩…

A: We simplify the given expression.We state  property from each expression.

Q: Suppose P(E) = 0.74, P(F) = 0.4, and P(E´∩F) = 0.49. Find P(E´∪F). Note the complement symbols.…

A:

Q: 2. Evaluate f]x-1dx 1 O 2 O None of these

A:

Q: Question 2 Rewrite each statement in words without using symbols. Try to write the statement as…

A: a). Every odd Integers can be expressed in the form of 2k+1, where k is an integer.  i. e.  Every…

Q: The_____ of A and B consists of all elements in either A or B or both.

A: The_____ of A and B consists of all elements in either A or B or both.   The answer of the above…

Q: Perform the operation, if possible. Let et A = [ - 1 5 1] and B= OA. O C. [ 6 - 10 9 5 - 35 - 3 -6…

A:

Q: Which of the following elements would NOT be an element of {4, 8, 12, . . . } 28? 30? 32? or…

A:

Q: Prove the following statement: For any positive integers a, b, c and d: a+2cd or b-a2d if and only…

A:

Q: Evaluate for x = 1, 3, 5, 7 Σ 2 χ3

A:

Q: If the product of two integers is positive, their signs are . b. If the product of two integers is…

A: To solve the following problem

Q: If a number is divisible by 6, then it is divisible by 2 and 3.  If a number is divisible by 2 and…

A: Solution: We can determine whether the given statements are true or false by using divisibility rule…

Q: "x is in A"  and "x is in B"

A: " x is in A intersection B" is same as " x is in A" and " x is in B".  For "x is in A union B" is…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.