A and B are sets of real numbers defined as follows. 4 = {x | x > 3} Bx|x5 Write A n B and A UB using interval notation. If the set is empty, write Ø. -oO AU B X Il

Q: 13. Let U be the set of real numbers, A = {x |x is a solution of x - 1 = 0}, and B ={-1, 4}.…

A: Let's find.

Q: C and D are sets of real numbers defined as follows. C={z | z>1} D={z |z>8} Write CUD and Cn D using…

A: Given are the sets as follows: C=z|z≥1D=z|z>8. Here z∈ℝ. It is required to find C∪D and C∩D. The…

Q: B and C are sets of real numbers defined as follows. B-x |x<2} c={x |x27) Write Bn Cand BUC using…

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Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 72n-3 17 ac² cn-4 с - в n=3

A: The given series can be written in Geometric series form, Put…

Q: If f(x) = and g(x) = z+3 %3D I-1 H-2 The domain of fogis the set of all real numbers except z+1

A: For f(g(x)) to be defined first g(x) needs to be defined

Q: Suppose that the functions r and s are defined for all real numbers x as follows. r(x)=2x-6 s(x)=x-4…

A: Given: Now, (s-r)(x)=s(x)-r(x)           =(x-4)-(2x-6)           =-x+2 (s.r)(x)=s(x)r(x)…

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 92n-3 6 cn-4 ac? n=3 C -

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Q: Let the domain of x be the set of real numbers. Then Vx, (–+1 € R) is O a true statement O a false…

A: Let the domain of x be the set of real numbers.

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s (x) = 2x? t (x)…

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Q: Let V, = xER for each positive integer i. Find each of the following. (Enter your answers using…

A: As per guidelines, we will solve only first three parts. If want want another part to be solved,…

Q: B and C are sets of real numbers defined as follows. B={w | w>1} C={w|w>6} Write B U C and B N C…

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Q: 54. Both of the following statements have the set of positive real numbers as their set of meanings.…

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Q: A and B are sets of real numbers defined as follows. A-(: |2> 2} B-(: |258} Write AnBand AUB using…

A: Solution:   Given that A &amp; B are sets of real numbers such thatA = z | z&gt;2B = z | z≤8

Q: B and C are sets of real numbers defined as follows. B= {z | z>3} C= {z | z<9} Write B n C and BU C…

A: topic - relation and sets

Q: Given f(x)= Vx-5;x#5 and g(x)=x+3 Find the domain of (gof)(x)? O All real numbers greater than 5. O…

A: Domain of composite function gof =g(f(x)) will be common region of domain of f(x) and expression of…

Q: Suppose that the functions s and are defined for all real numbers x as follows. s(x) = 2x 1(x) =x…

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Q: B and C are sets of real numbers defined as follows. B = {w | w>1} C = {w | w<9} Write BUC and B n C…

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Q: Let A and B be two sets of real numbers. Which one of the following identities is true? O A = (Anø)n…

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Q: C and D are sets of real numbers defined as follows. C={v|v>4} D-{v| v

A: C ∩ D those element contained in both C and D. C U D those element contained either in C or D

Q: (c) For real numbers x, if (x +2)(x – 3) = 2, then x + 2 = 2 and x - 3 = 2.

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Q: F and H are sets of real numbers defined as follows. F={y|y>1} H={y|y<8} Write FU H and F N H using…

A: NOTE: Refresh your page if you can't see any equations. . given inequalities:   use the number line…

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 132n-3 8 cn-4 ac? с — В n=3

A: To find the value of a from the given summation

Q: Find the Domain of 1, if f(=) 0(s-6) %3D O Domain: y is all real numbers O Domain: y N0 O Domain: NO…

A: Given f(x)=6(x-6)2 To find f-1, assume y=f(x) then swap variables to find f-1

Q: D and E are sets of real numbers defined as follows. D= {v|v> 1} E= {v]vs 8} Write Dn E and DUE…

A: Given D = { V | V &gt; | }           E  = { V | V ≤ 8 }We find D ∩ E and Due using interval nolation…

Q: c and d are sets of real numbers defined as follows. c={y]y<3} D={y]y<9} Write cn D and cUD using…

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Q: A and B are sets of real numbers defined as follows. A={x|x≥1} B={x|x&gt;7} Write A∪B and A∩B using…

A: Definition used:Union of two given sets is the smallest set which contains all the elements of both…

Q: C and D are sets of real numbers defined as follows. C={z|zs1} D={z |z<9} Write CUD and Cn D using…

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Q: C and D are sets of real numbers defined as follows. C={z |z<1} D={z|z<9} Write CUD and Cn D using…

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Q: Fix a real number r # 1. For all integers n > 0, 1+r' +r? + •..+ r" = r – 1 pll+1 – 1

A: Consider the provided question,

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 172n-3 ac? E13 cn 4 с — В

A: SUm of infinite terms of G.P. isa1-r

Q: Use interval notation to represent all values of x satisfying the given conditions: y = 2x - 11 +…

A: It is given that,y = 2x - 11 + 3(x + 2) and y is at most 0. We have to use interval notation to…

Q: Let R be the set of all real numbers and let a, b eR Ə a> 0 and b > 0. Which of the folbwing is/are…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: R.3. Let [a, b] be an interval on the real number line (with a < b). Prove that a,b]-[0,1].

A: We have to find a continuous bijective from a,b to 0,1 to show that a,b~0,1

Q: Find the values of x such that |2x + 7| < 0.01. The values of x that satisfy |2x + 7| <0.01 are…

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Q: 3.1 A= {x/xe R; -75 x< 12}, B = {x/xeR; x< 5}. Write down An B and sketch this set on a number line.…

A: A=-7≤x&lt;12,B=x/x∈R,x&lt;5

Q: Let B, = {xER|0< x si for each integer i = 1, 2, 3, 4. (a) Find B, U B, U B3 U B4: (Enter your…

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Q: and D are sets of real numbers defined as follows. C= {z |zs3} D = {z |z<6} ite CUD and Cn D using…

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Q: A and B are sets of real numbers defined as follows. A={v| v7} Write A N B and A U B using interval…

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Q: Assume a, b and c are real numbers greater than 1. Find p, q and r so that the following equality…

A:

Q: F and H are sets of real numbers defined as follows. F={v|v<4} H={vI vs아} Write Fn H and FUH using…

A: Given, F={v|v&lt;4}H={v|v≤6}

Q: (a) Find the three ordered pairs of integers (a, b) with 1 0 and d>0 and 17 2d + 1 is the smallest…

A: Given   a) 1&lt;a&lt;b and ab=2022b) c&gt;0 and d&gt;0 and 2c+12d+1=117c) p,r and t are real numbers…

Q: D and E are sets of real numbers defined as follows. D = {z | zs4} E = {z | z>6} Write D UE and D nE…

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Q: Example: Given m(x) = x + 3, n(x) = x² – 9 , and p(x) = vx + 1 Find (n – m) (x) and write the domain…

A: Interval:- A interval is a set of real numbers that contains all real numbers lying between any two…

Q: E and F are sets of real numbers defined as follows. E={x|x&lt;1} F={x|x&lt;7} Write EUF and E∩F…

A: We have Sets E={x|x&lt;=1} and F={x|x&lt;7}.So , first we will plot the number line for given sets.…

Q: A and B are sets of real numbers defined as follows. B = {v | v> 8} Write AN B and A U B using…

A: Please see the answer below

Q: Let a and b be real numbers. If a x b=0, then a = 0 or b = 0. %3D O True O False

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Q: Prove that –(|a| + |b|) ≤ a + b ≤ |a|+ |b| for any real numbers a and b. (Hint: Use cases when…

A: We have to prove the condition

Q: A and B are sets of real numbers defined as follows. A={w | w<4} B={w | w26} Write An B and A UB…

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Q: B and C are sets of real numbers defined as follows. B={v|v<3} C={v| vz가 Write BnCand BUC using…

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Q: E and F are sets of real numbers defined as follows. E = {w | w<3} EUF=- F={w |w<6} En F=E 3,65…

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