IV. Associative Laws : If A, B and C are any three sets, then (1) (A U B) U C = AU (BUC) (ii) An(BnC) = (An B)n C %3D %3D i.e., union and intersection are associative. el02 to endeplA

Q: is there a step missing after "Hence"?

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Q: Prove the following: 1. erfc(∞) = 0

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A: Introduction: Multiplication is a mathematical operation that represents the fundamental concept of…

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Q: (A) In y

A: The detailed solution is as follows below:

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Q: 6. Prove that if alb and k E Z, then a|(b+ ak).

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Q: Is Statement (1) below True or False and WHY? TEA=B is equivalent to "TEA IFF TE B"

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Q: Prove that if CE AB and C+ A, then AB AĆ.

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Q: Prove that if A and B En and Ac B, then

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Q: If E, and E2 are measurable then (E,UE) is not measurable .

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Q: If z1:2., are complex numbers such that =|= =. = |=,| =1, Prove that

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Q: Section 2.2 as) Given: mく3 > m<4 a Prove FH is not I to EG H.

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Q: Compute the following. 8 (²) 5

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Q: and xe"y %3D For ay

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Q: Prove the following (i) If G = & {4,N}, then E(§|G) = E(£) a.s.

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Q: A = 2 1 2 0 1 -H B = W = w-B Find the following: a- A², AB, det(A) b- If AW=B, find (W) using…

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Q: B=(2,).Then 2 E3 %3D

A: Some definitions: Interval:  Let S⊂ℝ, then we say S is an interval if c,d∈S such that c≠d. Then, ∀…

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Q: (А - B) - С - (А -C)- (В - C)

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Q: Prove that Z(D,) # {1} if and only if 2|n (hint: if 2|n look at ri).

A: Let us suppose, Dn=e,r,r2,..,n-1,f,rf,..,rn-1f and nis divided  by 2. Then, n2 is a integer. We see…

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Q: Prove or disprove that if (A U B) C (An B), then A = B

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Q: Let A =| 0 -3 0 . Compute A“. 5

A: A=2000-30005 Now,…