let A, B ⊂ R, and suppose A and B are closed. Prove that A ∩B is closed. Hint: You might try showing (A ∩B)^c is open. (Recall (A ∩B)^c is the complement of A ∩B).

Q: Let a,b,c,d be real number with a < b < c < d. Express the set [a,b] U [c,d] as the difference of…

A: We have given that, a, b, c, d are real numbers with a &lt; b &lt; c &lt; d. We need to express a, b…

Q: 4. The following table presents a sequence of algebraic expressions that have a logical sense. There…

A:

Q: Prove that a b + 2c + 3d + c+ 2d + 3a Let a, b, c, d be positive real numbers. C d + 2a + 3b + d a +…

A:

Q: Can u anwser it's incomplete

A: Let  be a random variable, denoting the number of seeds that grow into a healthy plant.

Q: Express the set in roster form. B = (x | XEN and x is a multiple of 7)

A: For given set B we have to write it in roster form.

Q: If #: $ a,b,c} which of these celations are a funchion? Emplain, cab) CS

A: Solution : Given :    A= {a, b, c}  Set of relations are      a)    { (a, b), (b, c), (c, c) }…

Q: If P = {1, 2}, form the set P × P × P.

A:

Q: Which of the following is an example of the associative property? A 3(5 + 7) = (3x5) + (3x7) 34 + 3…

A:

Q: Suppose the ith column of B is all zeros, and assume that the product AB is well-defined. Prove the…

A:

Q: Let N= {1, 2, 3, 4, .} be the set of natural numbers and S= (1, 4, 9, 16, ...} be the set of squares…

A:

Q: Let A= (1,2, 3, 4}, let B= {a, b, c, d}, and let P(A) denote the set of all subsets of A. Determine…

A:

Q: An Example Where the ConversIes False Show that the converse of, "If m and n are even, then m + n is…

A:

Q: Let A be the set of integers bigger than 3 and smaller than 10 and B the set of positive integers…

A: Solution-Let A be the set of integers bigger than 3 and smaller than 10.A={4,5,6,7,8,9}

Q: List the elements of the set in roster notation. (Enter EMPTY or ∅ for the empty set.) {x | 4 − x =…

A: Given: Given set is  x|4-x=9 and x is an integer We want to list the elements of the set in roster…

Q: Let U = {3,5,6,9,10,11,15,16,17). Determine the complement of the set {3,5,6,10,11,15,16,17}. The…

A: Given that the sets U=3,5,6,9,10,11,15,16,17Let  A=3,5,6,10,11,15,16,17  .

Q: If the union of two sets is countable, then each set is also countable.

A:

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: For "x is in A intersect B" give an equivalent statement that uses "x is in A"  and "x is in B".…

A: We the following operators,  ∈ - "is in"&amp; - "and"

Q: Find the complement of the set given that U={x xEI and -3<x<9}. (Enter your answers as a…

A:

Q: Find the complement of the set given that U = {x | xEI and -3 < x< 5}- {x | x EI and -2 <x < 2}

A:

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6, 7), and C = {red, green, blue}. Find the number indicated.…

A: Here A = {H, T}, B = {1, 2, 3, 4, 5, 6, 7}, and C = {red, green, blue}. We find n(B×C).