If A = {2 ≤ x ≤ 5) and B = {3≤ x ≤6), find A UB, AB, and (AU B)(AB).

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: If A⊆B ,can we always conclude that A = B

A: Let A and B are two non empty sets Since A⊆B i.e., The elements of A are contains in set B Here we…

Q: If a = = V7 =7, then x %3D

A: If x2=7 then x=7   Given statement is TRUE

Q: 2. Find p and q such that 7x+1 5 |5x-1|≤4 implies p ≤: <q

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Q: Find the values of x and y such that -4 -8y -2 -12 2 7x 17) 3 2y 3 -4x 6. 3 Answer:

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Q: Q. One of the following statements is wrong: a.-1,0 = 1.100/ 6.(2,3=| 2.5) C. (1. 2) = R d.(2,3) =…

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Q: Let A = 2 and U = H Then A2017U is equal to A D

A: Given A = -120-1  and  U = 10

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: Let a, b, c be three consecutive odd nubmers, with a < b < c. What is the  value of a2−2b2+c2?

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Q: 2) classify ग 822 +y 8x2 02Z ०५२ 2

A: GivenA partial differential equation AimTo classify the given equation1) A linear partial…

Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0

Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

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Q: · (b + c) = ² 7. Prove that à. = a · b + ac for all a, b, c € R³.

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Q: Let x) 4 and gx)-x-3. Find the foilowing lock

A: To find the following expressions

Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A:

Q: true or false: 1. Q+ ∩ R+ = R+ 2. Z+ ⊆ R+ 3. C U R = R 4. Q ∩ Z+ ⊆ R+ please explain for each…

A: We have to answer that which statement is true and which one is false with reason.

Q: 5. Let A 3D, В %3 and C %3 Find a) (A · B)C b) А : (2С) c) ||B||2

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

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Q: 2. Evaluate: √₁² √2 - x + x da −

A: We know that the modulus function fx=x is defined as x=-x,x&lt;0xx≥0. If we take x=-2, then f-2=2…

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

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Q: X and  Y are randam variables then XeY is a randam variables.

A: Here, The X and Y are two random variables  Then XeY are also random variables we have to show Here…

Q: 18. Show that P→ qand-q→→p are logically equivalent.

A: We have to show that  and  are logically equivalent.

Q: Prove that if r>3 and y > 4, then ry > 11.

A:

Q: 6. If -2 determine all values of x and y for which A= A.

A:

Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

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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: Suppose that P(A) = 0.4, P(B) = 0.3 and PAUB)-042, then a. A and B are dependent b. none of the…

A: We have to find out correct answer...

Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g- h c) g.h d) Igl

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Show that ACB implies |A|≤|B|.

A:

Q: If A = {2 ≤ x ≤ 5) and B = {3≤ x ≤6), find A UB, AB, and (AU B)(AB).

A: In set theory, the symbols ∪ and ∩ are used to denote the union and intersection of sets…

Q: Prove that A-B=An(-B) = (-B) – (-A) = −[(-A) U B]. Also, give three expressions for An B and AU B,…

A: Difference of sets: Given two sets A and B, the difference A−B is defined as the set of all elements…

Q: Let A {a, b} and B = {1, 2}. Give an element of A x B x A.

A: Let M and N be two sets. The Cartesian product, M×N is the set of all possible ordered pairs with…

Q: If z≤2, show that |Im(5 + 2z - 3z³)| ≤ 33.

A: The given problem is to show the given identity for the given condition |z|≤2. Given identity,…

Q: If u x = [1, -3,5], thenx =

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Q: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

A: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

Q: If |z| ≤ 2, show that |Im(5 + 2z - 3z³)| ≤ 33.

A: We know, for a complex number z      i) |Im(z)| ≤ |z|      ii) |z̄| = |z| Also, for any two complex…