A = ({0} U {x |x € Z* and x < 4}), В 3 30, 1, 3, 5, 7}, and C = ({0} U{x| x E Z* and x is even and x < 8}). Write the contents of the following in roster notation. с) В (ANC) d) BO B e) CO

Q: given u= and v= find uXv

A: To solve the following problem

Q: Ex. Show that [b, c) ~ [a, o), where a, b, c ER and b< c. [H7-9]

A:

Q: Let 4; = {0, i} . Find U4, and N 4. i= 1 | A;. i= 1

A: Given :  Ai =  0 , i    To find :  The union ∪i=1∞ Ai    and the intersection  ∩i=1∞ Ai   .

Q: Evaluate. Assume u >0 when In u appears. *In 8x dx O A. 16 (In 8x)? + C (In 8x)? + C OB. 2 Oc. (In…

A:

Q: Let U={1,2,3,4,5,6,7,8,9,10}. Let A={1,3,6,8,10}. Let B={2,3,5,7,8}. Determine (A−B)′

A:

Q: Let A = ff, I, y }, B = {r, a, t}. Find A x B and B x A. AxB= BxA= Let A = ff, I, y }, B = {r, a,…

A:

Q: Let a, b € N. Choose all correct statements. O gcd(-a, b) = gcd(a, -b) O ged(2a – b, a + b) =…

A:

Q: {1,3, 5, 7, 9, 11}. Use the Let X = {4, 5, 6, 7, 8, 9} and Y roster method to describe each of the…

A:

Q: a a + b Determine all values of a and b so that belongs to а 1 3 1 Span 1

A: We have

Q: Let A = {−1, 3, 2} and B = {1, 2, 6}. Find A N B. ○ {2} O{-1, O{-1, 2, 3, 6} O{-1, 3} 1, 2, 3, 6}

A: Option AExplanation:Given:A = {-1, 3, 2}B = {1, 2, 6} Solution:A ∩ B denotes the common values…

Q: Given u = (10, 9) and v = (5, - 2), find v-u. O (-10, – 3) O (-5, - 2) O (-15, – 8) O (-5, – 11) O…

A: Givenu=(10, 9)v= (5 ,-2)

Q: Let ū = (2,3) and i = (5, 2). Find ū . Select the correct answer below: O (-3, 1) O (7, 5) O (3, –1)…

A:

Q: Let A = {1, {b}, {1, b}} a. Place an e or in the blank to make each of the following statements…

A: ● Let x be an element of a set A , then its denoted as x∈A .● If All elements of a set B is present…

Q: Let U= {x |x E N and x< 10}. Let A = {x | x EN and x is odd and x< 10}. Let B = {x |x EN and x is…

A:

Q: Suppose that p is false, but q is true. Which of the following statements are also true? Select all…

A: Given the statement p is false, but q is true.

Q: Let A = {a, b, c, d}. Find P(A).

A: Let A = {a, b, c, d}. Find P(A).

Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: If a = (2, 0, 2), b =(4, 2,-2), and c = ax (bx c) = (a x b) x c = = (0, 2, 5), show that a x (bx c)…

A: The answer is in step2.

Q: Let U = {x | x is the name of one of the months in a year} J = {x | x  U and x begins with the…

A: Given that U = {x | x is the name of one of the months in a year} J = {x | x U and x begins with the…

Q: Find the product of x and y if x, 3/2, 6/7, y  are in G.P

A:

Q: given u = and v= find u*v

A: To find out the dot product u*v

Q: Let v = (5, 1, 2) and w = (4, –3, 6). Find each of the following: v+ w, v– 3w, || v||, || v – w ||

A: Solution: The objective is to find the required values

Q: Let A = (c, a, t J, B = {f, 0, x). Find A x B and B X A. AxB= (Type an ordered pair. Use a comma to…

A:

Q: Let A = {h,1,o}, B = {7,8), C = {7}. AXBXC = { CXBXA = { BXBXB={

A:

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”.