Let A = [3, 8], and B= (-00, 4). Choose sets that are infinite and uncountable. O P(ANN) O P(AnQ) O B \ A° O Bº nQ

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

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Q: Consider the statement Vxy (y <x) Let x be all natural numbers Let y = x-1 Is the statement true or…

A: We know that the set of natural numbers starts from 1 and it is an infinite set. This set is…

Q: Define two relations R1 and R2 on set positive integers. R, = {(a,b)|a > b} and R2= {(a,b)|a? = b }.…

A: Composition of relation

Q: Find |ATI, JA3I, |ATAI, and 19A|. -3 5 A = 7 1 (a) JATI (b) JA31 (c) JATAI (d) 19A|

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Q: ame: Date: 1. fx]=x +2x -X-2 2. x)=x-2x 8 Rel. Max Rel. Min: Rol. Mox Rel Min: Abs. Mox. Abs. Min.…

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Q: For Exercise, write the set as a single interval. [(-0, 6) U (10, o)] N [8, 12)

A: We will draw them on a number line. Draw:

Q: Let U = {1,2,3,4,5), A={1,2,5}, B = {1,4,5), and C= {1,2,3}. (a) Find A U (BUC). (b) Find (A U B) U…

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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: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: {(r.0):3<rs4 and so<- Neatly sketch the set of points

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Q: 8. flx) =3=x*, glx)=x² 4 d) Domain A domain Domain

A: A function is like a machine that takes an input and gives an output. In mathematical terms, a…

Q: N repteseated by Determin, the lorus 1z -3 -|2+31 =4' %3D

A: Given that : b) argz+1z=π4That can be written as,argz+1-arg(z) =π4Let substitute z =…

Q: Use any method you choose to shc are sets.

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Q: 6. Let A and B be sets. Find the most general condition under which (1) AnB%3DВ. (2) AUB = A. (3)…

A: It is given that A and B are two sets.  The most general condition for the given conditions can be…

Q: End the cquation ot the perpeadicular to tie line KEy=4tat goes thousn the point (0,2).

A: topic - equation of perpendicular line

Q: = (-10,6, –4) be in R and a be in R. Then , 36 , Let x ат — ).

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Q: Suppose ū = (0, -3, –2) and ū = (-1, –4, –5). Then: u + v= u – v= v – u= 5u= 2u – 4ū=

A: Givenu¯ =0,-3,-2v¯ =-1,-4,-5

Q: Let A = (-2, 4)., and B = [0, 0). Choose sets that are infinite and uncountable. O B° \ A O Bº nQ O…

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Q: uppose ū = (1, −3,−1) and v = (1, -5, -5). Then:

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Q: a. 2 |x – 4|| х-1 b. x? + 2х — 12 1 х+1

A: a.  (1, 2] and [3, (5+√17)/2]         b.  (-1-√13 , -1+√13)

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

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Q: Given u and v, find proj, u. и%3D-7, -4, -9] v = [-8, –6, 9] proj, u = %3D | Ex: 1.234 , Ex: 1.234…

A: We use the definition of Dot Product of vectors, Length of a vector, and Projection of one vector…

Q: Match each statement with one of the choices [(1)- (4)]. (1) 2 +3 et (2) t2 +3 (3) 0 et (4) r2 + 3…

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Q: Suppose ū = (-4, 1) and ū = (0,4). Then: u+0= u - D= 0 - u= 4u= 4u – T0=

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Q: H012.3.4,53 Find sets CandD such that A= CBUC)\ D.

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Q: Let a = . Find Ja]. - 2, 2,1 >. Find lä].

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Q: Let á = . Find Jä].

A: Let's learn the concept.

Q: Suppose u = (-3,0,0) and v = (-3,-2,3). Then: u +0= u – T= | 3u= 7u – 30=

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Q: Find the number of relations from the set A {a, b, c} to the set B = {1,3}

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Q: Consider an indexed family of sets. B={Bn:neN}, where Bn = {2n, 2n + 1, 2n+2, ..., 3n}. (a) Write…

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Q: For questions 1-8, match each set in Column I with the appropriate description in Column II. 1.) (1,…

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Q: 4 The set {# € R : \# + 3| + z > 2} equals Select one O a (-0, -3) U|-,00). O b.(-3, 0). O d none of…

A: If we have x&gt;a then it can be written as: x&lt;-a or x&gt;a Now, we have x∈ℝ: x+3+x&gt;2 Now,…

Q: . Let f= {(-4,4), (-2, 4), (1, 3), (3, 5), (4, 6)} and g= {(-4, 2), (-2, 1), (0, 2), (1, 2), (2, 2),…

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Q: Let A = {1,2,3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?

A: Given A=1,2,3,4B=a,b,c,d,e

Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 8. For any sets A, B,…

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