Can you conclude that A= Bif A B, and Care the sets such that a) AUC= BUC (Click to select) v b) ANC= Bne (Click to select) v C) AUC= BU Cand An C= Bne

Q: b let fl) = an+b and g) = Cn+d where a,b;c and d Constant. Detemine for which constant a,b;c and d…

A: The objective is to find the constants a, b, c and d such that fog=gof where fx=ax+b and gx=cx+d

Q: Prave that for all sets A and B, (ANB) = A UBC %3D

A:

Q: Let A, B, C, D be sets. Prove that (a) A × (BN C) = (A × B) N (A × C') (b) (A × B) N (C × D) = (AnC)…

A: Given (a) A×B∩C=A×B∩A×C (b) A×B∩C×D=A∩C×B∩D

Q: 11. For sets A and B, define AAB (A\B) U (B\A). Prove that A B if and only if AAB=0. - (a) Let A and…

A:

Q: B. Evaluate each. 1. C(8,4) 5. C(8,4) C(7,5) 22. C(5,0) 3. C(4,4) 4. C(11,3) C(7,4) 6. C(8,2) C(6,2)…

A: As per the guideline I’m supposed to solve only three sub-parts of the given problems.As we know…

Q: For sets A and B, prove that AU (B – A) = B

A:

Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of th the following sets. (a) Ax B (c)…

A:

Q: Which of the following is always true about the Cartesian product of sets A and B? A. (A x B) x C =…

A:

Q: The set {[1 -1 3], [2 3 -2], [3 2 1], [0 0 0]} spans صواب İhi

A:

Q: 3.) Which of the following equations is true? a) 28 + 7 = 4(7 + 7) p) 36 + 6 = 6(6 + 1) E) 13 + 36 =…

A:

Q: Use the laws of the Algebra of Sets to Simplify each of the following: a. (P V Q) ^~ P b. PV (PAQ)…

A: The important laws of algebra used for simplifying the expressions are as follows. Distributive…

Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

A:

Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Find the value of a for which V= 2 a 5 is in the set a= H = span -5 3 5 0 -3 -5 0 -2

A:

Q: Write the set of ordered pairs as a mappi 2) {(-5, 5), (-4, 1), (0, 1), (3, 1), (5, 4)}

A: Given: ordered pairs:  {(-5, 5), (-4, 1), (0, 1), (3, 1), (5, 4)}…

Q: et A, B, C and D be sets. Prove that (AnB)u(CnD)=(AUC) n(BUC) n(AUD)n(BUD)

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

Q: 1. If ü= (2,-3), v=(1, -5), and w=(6, 2), determine the following: a) |ü +v| b) 3 ỹ -ū +w

A: a) u→+v→=(2,-3)+(1,-5)=2+1,-3-5=3,-8=32+(-8)2=9+64=73|u→+v→|=73

Q: 5. Аx (В — С) %3D (А х В) — (А хС) 6. (А - В) хС %3 (АxC) — (В хС)

A: To prove the given statements.

Q: what is the product of two sets? B.) What does this mean? Can you give an example?

A: Concept: In set theory product of two set A and B means cartesian product which is represented by…

Q: If A and B are two sets satisfying A∖B=B∖A what can we conclude about A and B? Explain.

A: If A and B are two sets satisfying A∖B=B∖A,

Q: Assume that A, B, C and D are sets. Verify that (A x B) U (C x D) ≤ (AUC) x (BUD).

A:

Q: Prove or disprove: For all sets A,B and C: (A-B)-C = A-(BUC).

A:

Q: given: set A = {a,b,c,d} into set B = {1,2,3,4}. which set of ordered pairs represent a bijection?

A: Consider the set S={(a,1), (b,2), (c,3), (d,4)} Here each element of A has exactly one image in B…

Q: Q6: The values (a, b,c, d,e) in the divided difference table are: F, F F, x f O b 11 2 26 7 32 a 58…

A: Form the table and compare the value.

Q: Prove that A°= A - Ab.

A:

Q: There is a set X= {1,2,3,4,5). find The Sets A. B₂C Such B≤X. CEX. (AUB) ≤ (ANC) and That A≤X C & B

A:

Q: 5Letu=L1,Q2,3,4,5,L,7%,9,10)1,3,5,9) B=L 2,5,60,9010) Find the sets: 2. B' 3. AnB

A:

Q: Prove: For all sets A, B and C, An (B-C) = (ANB) - (ANC).

A:

Q: Find values of x and y in order to make the following

A:

Q: b) 4) Define the variables a,b and c as: a-5, b=-5, and c-2a+b Evaluate: 6a b abia + Blatblic a)…

A: Concept: First put the value of a, and b in the c to find the value of the c, next By putting the…

Q: (m) W ) Given A, Be {sets}, V AC B, A – B= A.

A: Given: A,B∈sets and A⊂B since A⊂B⇒A-B=ϕ we have to prove A-B=A So, these will happen when A=ϕ So,…

Q: 10. If 3(a, 3, 2)-2(3, b, b) = (-3, 1, -2), determine a and b. Describe the set spanned by the…

A:

Q: 2. Given that 2 -10 -2 6. B = 10 -2 A = 14 12 10 -12 -4 -2 -5 2 -2 find the following: 2.1.) А+В…

A: Given :A=2-10-21412104-22B=610-20-12-4-52-2

Q: The set {[1 2 0 1, [2 0 4 1, [O 4 5 ]}spans R3 صواب İhi

A:

Q: prove that B = C.

A: Representations  1) L ∩ M -> Intersection of L and M is the common part that is present in both L…

Q: For the set [-0,4) U{5,9}U(6,7), JA = {4,5,6,7 } %3D ylgn İhi

A: False