4. Determine whether each of the following eight statements are True or False: а. (1,2,3} < (1,2,3, Ф} b. {5} C {8,5,4,6} с. {2},3} с (2,4, (3}} d. (Ø } € Ø e. Ø C {{5}} f. A = {1, {2},{{3}}, Ø }, |A| = 4

Q: 4. If u = (-3, 2), v = (-4, –6), find 4u – 7v %3D

A:

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

A: We have to solve given problem:

Q: 1. Which of the following statements is true? a. 9 + (-23) = (-23) + 9 b. (3 + 13) + 7 = 3 + (13 +…

A: Consider  a.   9+(-23)=(-23)+9 b.    (3+13)+7 = 3+(13+7)c.     -14(5+7)=(-14)(5)+(-14)(7)

Q: a. 7+23 d. 2.62 f. -3 b. 9.31 8• (4) е. (: 5) g. С. 20-24

A:

Q: and B = . show that 3 -1 4] (A + B)² # A² + B² + 2AB If A =

A:

Q: Which of the following two sets are equal? Select one: a. None of them b. A = {1, 2, 3,3,{}} and B =…

A: Solution:  Defination of equal sets: If two sets A and B are said  to be equal if the number of…

Q: P+ हे-a+7 +4x 15 Put +axŅ if

A: Given rt→=ti^+lncostj^ We have to write a→ in the form a→=aTT→+aNN→ Where, aT=ddtv and aN=aT2+a2…

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: State whether each statement below is either true or a. {1} c (0,2) b. {1} € (0,2) and C123. d (42…

A:

Q: A. If U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}, À = {1,2,3,4,5 {1,2,3,5,7,10,14,15}, C…

A:

Q: en A={x,y},B={1,2,3} and C={m,n}. How many orderd pairs are there for A×B×C

A: To find how many ordered pairs are there for A x B x C

Q: Given that 5w= (-5, 20), what is w? Select the correct answer below: O (-1,4) O (1, -20) O (-4,1) O…

A:

Q: Q. 5. Show that "-C, 1+"C, =" C, . n-1

A:

Q: 6. Determine the all values of the following. (1+ i)i а. b. (-1)i

A:

Q: Suppose that A= {a,b,c,d} Then |A| =.?

A: Let X be a set , then X be number of elements in set X

Q: Expand the following expressions in 2D, then express each in index notation. a) Vp b) v. Vv c) VV.v…

A:

Q: . What is the relationship . What is the relationship of A and B? of A and C?

A: Provided that A={ 2,4,6,8,10 } , B={ 1,3,5 }  and  C={ 8,2,10 }We know that if a set X has  some or…

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: 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: Find the value of the following expressions а. Г(15) b. 3(.4) erf(10)+erfe(10*) с.

A: We know that: Γa=Γa+1a and Γn=n-1!, where Γ(x) is the Gamma function. βa,b=ΓaΓbΓa+b, where β(x,y)…

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

A:

Q: a. The total cost of 11 pencils and 3 erasers is $64 and the total cost of 8 pencils and 3 erasers…

A: Given that  The total cost of 11 pencils and 3 erasers is $64 The total cost of 8 pencils and 3…

Q: Given the U ={1,2,3,4,5,6,7,8,9,10}; A = {3,4,5,6,7}; B ={1,5,7,9}; C = {3.6,9}; D = {2,4,6,8).

A: Note: The student has made a typing error in set C = {3.6,9}, it should be set C = {3,6,9}. So, we…

Q: 2. Determine whether or not A is diagonalizable. If so, find D and P such that A = PDP-¹. a. A = [²]…

A:

Q: Suppose B = (-8, –9) and АВ — (-16, –16). Then || A =

A:

Q: Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, English,…

A:

Q: Let id (2,-2, 1), d= (2,-1,-6). Find i ,-dand |M.

A:

Q: Let R = {(a, b), (b, a), (a, c), (c, d), (d, a)} a. Is (a, c) E R³? b. Is (a, a) E R²? c. Is (c, c)…

A:

Q: c) 6. 5 -4 -3 -2 –1 1 3 4. 6.

A:

Q: Compute. -4² +4(4)² O-47 O 47 O-48 O 48

A: Solution:  Given,  -42+ 4(-4)2 According to the BODMAS rule, we need to solve brackets first…

Q: If A={1,2}, then A x A =

A: Given data, A = [1,2]A×A =(X1 ,Y1)×(X2 ,Y2)= {1,2}×{1,2} A×A =(X1 , X2) (X1 ,Y2) (Y1 , X2) (Y1 ,Y2)=…

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”.