3. Let S = {(y, z) | 2y - 4z > 16, 6y + 4z > 24, y > 0, z > 0} a. Sketch the set S  b. Describe its boundary points  Determine with explanation the following c. Is the set S open or closed?  d. Is the set S bounded, convex and compact?

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A: Given: The given set ,

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Q: 21. Let A and B be two non-empty bounded sets of positive numbers and let C = {xy : x e A and y e…

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A: A = {c, d, f} and B = {w, x}, B x A = { (w,c), (w,d), (w,f), (x,c), (x,d), (x,f) }

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A: Given: Y*=∑j=1nyj | y1∈Y1, y2∈Y2, ..., yn∈Yn and, for any p∈R2 and nonempty subset Y⊂R2, vp,…

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A: This is a question of point-set topology.

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A: Answer

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Q: let U and y be bounded sets. if u er i tre M+ (V) ≤M₂ (V) and M^ (U) SM³ (V) 1

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Q: A set S C C is called bounded if there is a positive number M > 0 s.t. |z| 0} (c) {z = x + yi,…

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Q: Prove that the boundary points of an open interval (a, b) CR are the points a and b.

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Q: Sydsaeter,Peter Hammond,Atle Selerstad Ar. 33 / 310| - 371% +| E O 2. Determine which of the…

A: See the attachment

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A: size of the space streatched   by the set of n element is 2n+2

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Q: let A Set bounded below, ילC erove that C. nf A inf C A %3D

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Q: {S := n(x, y) | 2x + 3y ≥ 12}

A: First we draw the line then find the region.

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A: False

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Q: then: Suppose that f:[a,b]→R is bounded , P is parition of [a,b] and Q is refinement of P, L(f;Q) <…

A: It is a mcq type question and not asked about justification so i have provide direct the option.

Q: Give all boundary points of D.  Is D open, closed or bounded? Justify all your answers.

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Q: Consider the set F=(-infinity, 1) U (9,infinity) as a subset of R with d(x,y)=abs(x-y). Is F closed?

A:

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Q: 3. Let S = {(y, z) | 2y - 4z >16, 6y + 4z > 24, y > 0, z > 0} a. Sketch the set S (Show working for…

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Q: Suppose that f:[a,b] R is bounded, P is parition of [a,b] and Q is refinement of P, then: L(f;P)…

A: Correct option :- B Detailed Explanation :

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A: Given: M is a closed subset of X,d. To prove: bM is a subset of bbM, where bM is the boundary of M.