3. For each of the following entities, say whether it is a member of P(N), and explain why or why not. (a) 5 (b) {5} (c) {3, 100, 365} (d) {{3}, {100, 365}, {1000, 2000, 2001}} f the following two tynes:

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A…

Q: 1. The restriction(s) on the expression is/are * 3x + 1 3x + 13x + 4 O x+ -4, x + -1/3 x # -4 Xチ-1/3…

A:

Q: given n (A⋂B) = 18, n (A) = 3, n (B) and n (A⋂B) = 2.Find n (B) and the number of subsets of set B

A: Solution

Q: 6. Order of operations Evaluate. a) 5(4) + (-1)³(3)² (10-2)²(103)² b) c) (10-2)²(10 - 3)² 6(6 − 1)(6…

A:

Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: 1. Find the indicted term: an = (3n+ 2)²; a6

A:

Q: Let a (1) b=(1 1 1), A= Determine each of the following: A (a) a (b) A b (c) 12 ⓇA (d) A 12 (e) AⓇA…

A:

Q: If  n(A) = 105, n(A ∪ B) = 144, and n(A ∩ B) = 46, find n(B).

A: We know from set theory nA∪B=nA+nB-nA∩B

Q: let A {a, b} and B = {4, 5, 6}. %3D

A: A=a,bB=4,5,6 To find : a A×Ab B×B

Q: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

A: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

Q: If n(A ∪ B) = 97 and n(A) = n(B) = 66 find n(A ∩ B).

A: Given, n(A ∪ B) = 97 and n(A) = n(B) = 66

Q: Let F(x,y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The…

A:

Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: If A=-1 4 -3 -7/ -1 and A¹=/? ? (22 a ? What is the value of the element a? Give your answer…

A:

Q: Evaluate each of the following for x = 5, 7, 9 and 2. ∑x2 ∑x2 – 5  ∑(x2−5) 2∑x2- 5  2(∑x2- 5) 2)

A: Given:   X = 5, 7, 9, and 2.

Q: Evaluate the following 5s L (8 – 2)2 -1 -

A:

Q: If  n(A) = 109, n(A ∪ B) = 160, and n(A ∩ B) = 42, find n(B).

A:

Q: Add as indicated in the following exp (2)/(5(k-3))+(4)/(3(k-3))

A:

Q: Suppose A = {1, 2, 4, 5}, B = {2, 3, 5, 6} & C = {4, 5, 6, 7}. (a) What is (A ∪ B) − (C − B)?(b)…

A: We have given A = {1, 2, 4, 5}, B = {2, 3, 5, 6} & C = {4, 5, 6, 7}.

Q: C. Use the table to evaluate cach expression: 2 3 4 3 5 4 f(x) g(x) 4 2 3 3 a) f(g(0)) b) g(g(1)) c)…

A: Recall: f∘g(x)=f(g(x)) f±gx=f(x)±g(x) f.g(x) = f(x).g(x) Note : According to Bartleby guidelines,…

Q: What is the order of Z11?

A: Recall the fact that order is the number of elements in that group. Note that ,…

Q: In GL2(R), find the order of each of the following elements. (a) (b)

A: In the given question we have to find the order of the matrix s.t a=1-110 and b=1-101 in the group…

Q: 4) Which expression is equivalent to 1&r-50? 1) 2(3x + 5)² 2) 2(3х - 5)2 3) 2(3х - 5)(3х + 5) 4)…

A: we have to identify which expression is equivalent to the given expression

Q: 1. Expand the following expressions: a) (x+1)(x-4)

A:

Q: Simplify the following: a. (3x - (9+5))² – (5x² – (4 +9)x + (9 +9)) (9+3) (5 x² y" z*) b. 52x* y z-7…

A: Simplification

Q: Σ (4) -1 x = 4

A:

Q: -(A VB) -AV-B (A v B) ^ (AVD) :. A V (BAD) (A → B) ^ (CD) (AB) A (-D¬C) Choose.... Choose....…

A: