C and D are sets of real numbers defined as follows. C={v|v>4} D-{v| v<가 Write Cn D and CUDusing interval notation. If the set is empty, write Ø. (0,0) [0,0) (0,0) CND = | %3D [0,0) CUD = 0 %3D -00 Infinity 身 <>

Q: express the set of numbers x satisfying the given condition as an interval.       I x+ 7 I &lt; 2

A: Given: x+7&lt;2 We know that solution of inequalityx+a&lt;b is given by -b&lt;x+a&lt;b

Q: the sets of real numbers defined as follows.  A={z|z&lt;2} B={z|z&gt;6} Write A ∪ B and A ∩ B using…

A: To find the union and intersection of two sets of the given set of real numbers.

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&gt;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…

A:

Q: (2) The floor function is defined as a| = max{m e Z|m < x}. Effectively, the floor function is the…

A:

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: 1. Let x, y, and z be real numbers. Prove the following: [a] -(-x)- x [b] (-x )y = -(vy) and (-xX-…

A: Given x is a real number such that x≠0 To prove x2&gt;0

Q: Let R, - {r E R|1 5 x3 x < 1 for each positive integer i. (Enter your answers using interval…

A:

Q: I are sets of real numbers defined as follows. = {x | x > 2} %3D n H and FUH using interval…

A:

Q: Find the interval values for Z such that P(-z<Z<z)= 0.9886.

A: P(-z&lt;Z&lt;z) =0.9886.·.  x=1-0.9886         =0.0114

Q: 1a. Show that for the closed interval [a, 6], its set of interior points is the open interval (a, b)…

A:

Q: Show that the interval [a,b] is complete

A: Given

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…

A:

Q: C and D are sets of real numbers defined as follows. c=%=|z<1} Write CND and CUD using interval…

A: Given that

Q: Let x and y be postive numbers such that x+2y=50. Fing the values of x and y that make the quantity…

A: Here we will use the concept of maxima and minima to solve this question

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={z|zs1} D={z |z<9} Write CUD and Cn D using…

A:

Q: express the set of numbers x satisfying the given condition as an interval.          I 4x - 1 I ≤ 8

A: 4x-1≤8

Q: Describe the set S = { x : I 1/2x - 3 I &gt; 4} in terms of intervals.

A: S=x : 12x-3&gt;4

Q: Let R, = = 1, 1 + for each positive integer i. (Enter your answers using interval notation.) (a) 7…

A:

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…

A:

Q: Let a1, a2, ...,a, be real numbers that are all contained in the interval [-7/2, 7/2]. Use the…

A:

Q: o Yes, zero is contained in the interval.

A:

Q: Suppose that x is a real number and that UCR. Prove that the following two conditions are…

A:

Q: express the set of numbers x satisfying the given condition as an interval.       I 3x + 5 I &lt; 1

A: To solve the inequality: 3x+5&lt;1 Solution: We know that if x&lt;a then -a&lt;x&lt;a. We have…

Q: (2) If h is defined by h(x) = |x| +2, (a) What is the range of h if the domain of h is the interval…

A: Given function is hx=x+2 Graph of the function can be drawn as,

Q: Let R+ = {x € R|x>0} be the set of positive real numbers. Let A = [a,b), a,beRb +00, be an (right…

A:

Q: 1 The domain of h(x) = - + 7 consists of all real numbers except 0 and 3, represented in interval…

A: Consider a function fx. The domain of a function fx is those values of x for which the given…

Q: Let c, a, ß be nonzero real numbers such that c + B. Find a given that 52n-3 ac2 17 cn–4 n=3 с — в O…

A: According to question given that ∑n=3∞1752n-3cn-4=αc2c-β

Q: If an inflection point of the aurve f(x)=acos(2.x)+bsin(3x) is P(7/6,5), then what are the real…

A: Given: fx=acos2x+bsin3x; pπ6,5 We know that point P is inflection point of the curve, so it lie on…

Q: The interval notation for the set (xlx ≤4 or x>-2} is. [-2,4] A O (-2,4] BO R .CO DO [-2,4) EO…

A:

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

A:

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

A: Here, the given sets are: B=y|y&gt;1C={y|y≤9}

Q: If an inflection point of the aurve f(x)=acos(2.x) +bsin(3x) is P(z/6,5), then what are the real…

A: At inflection point :   d2dx2fx=0d2dx2acos2x+bsin3x=04acos2x+9bsin3x=0

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: Find   ∞ ∪ i=1 Ai       and       ∞ ∩ i=1 Ai                   i an integer To show your work,…

A: Ai ={ i,i+2 , i+4, . . . . } putting i= 0,1,-1,2,-2,3,-3,..........,we get, A0 =…

Q: Let A; = [0,2+. Find U A; and N A; Answer in interval notation.

A:

Q: 5. The set of all pairs of real numbers of the form (x, y), where x ≥ 0, with the standard…

A:

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…

A:

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: e and F are sets of real numbers defined as follows. E={v| v7} Write EUF and ENF using interval…

A: Note that: Union of two sets contains all the elements present in both the sets and intersection of…

Q: Describe the set S = { x : I } x - 3 I &gt; 4} in terms of intervals.

A: S=x : x-3&gt;4 Now consider, x-3&gt;4⇒x-3&lt;-4  or  x-3&gt;4   ∵x&gt;a⇒x&lt;-a  or  x&gt;a⇒x&lt;-1…

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…

A: Given the subsets of real numbers A=w:w&lt;4 B=w:w≥6

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…

A:

Q: (2) If h is defined by h(x) = |x| + 2, (a) What is the range of h if the domain of h is the interval…

A: Range of modules function

Q: Let E be the set of real numbers, A {x eR: 5<xs 10}, B= {x e R: 75x<20}.c= (0, 10]. D= (9, 15], E =…

A: Since you have posted a multipart question and we can answer three subparts. So, answered the first…

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

A:

Q: 32 (c) Show that Hence, find the interval for x that satisfies the inequality = 22* 2 x 4" 32" -…

A:

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…

A: