59. Let N be the set of positive integers and for each k € N, let Ag = |0 ,2- Find U-1 Ak- =D1 А. 0 В. [0, 2] C. (0, 2] D. [0,2) E. None of the above.

Q: 3.Determine the intersection X ∩ Y. Express the  in interval notation. X = {x/ x>equal 8} and Y =…

A: We have: X=x  x≥8=[8,∞)Y=x  x<7=(-∞,7)

Q: (e) Let A = {1,2, (3,4,5)), B=(2, 3, 4, 5, 6, 7). Find i. An B. A x B. P(AB), where P(X) is the…

A: According to the Bartleby guidelines I am answering only one first 3 parts.   We are given…

Q: U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die that are…

A: Given If U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die…

Q: Let a, b c and d be real numbers. Show that ab-cd = b(a-c)+c(b-d), and deduce that |ab - cd| ≤…

A:

Q: Let f(x)= Vx+ yx +Vx. Find f'(36) to the nearest tenth. Oa. 0.1 O b. 0.2 Oc. 0.3 Od. 0.4 O e. 0.5

A: Step 2 complete solution

Q: 5. Let r <0 be a negative real number. Use the Archimedean property to prove that there is an n EN…

A:

Q: en P(x >4|X

A: Given : Probability,p = 0.5 number of trial,n = 7 Let x be the random variable that…

Q: Ex. Show that [b, c) ~ [a, o), where a, b, c ER and b< c. [H7-9]

A:

Q: Juppose that the Mumber On ole det Bively by ogas for all nz2. Show that Oh= 2 +3( recu true for…

A: true

Q: Ex2:] If S:= {1/n - 1/m:n, mEN3, find inf Sand sup S.

A:

Q: 5. If x is an integer, then x' 2x. b d a C 6. There exists a real number x such that x'= x . FL

A: we can solve this problem using some basic properties of integers and real number.

Q: (2) For each nEN, set D= [ Find each of the following (2) U Dn. (b)

A: Given Dn = -7n, 5n

Q: .1כ If n33, еxpand u %3D а'хх, a" x,x;

A:

Q: Suppose A₁, A2, ..., A30 are thirty sets each having 5 elements and B₁, B₂, ..., B₁ are n sets each…

A: Given that A1, A2, . . ., A30 are thirty sets each having 5 elements and B1, B2, . . ., Bn  are 'n'…

Q: Which of the following sets is uncountable ? Select one: O a. {EN||x − 7| > |x|} O b. R\Z O c. 2Z x…

A:

Q: For all n, d EZ where d + 0, d\n n = dk for some kEZ. Disprove: For all integers a, 6, and c, if…

A: I have disproved the result

Q: Provide answers in interval notation. 18) x2 – 5x s -4 x2_5x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find numbers m and M Such that m<f'(1)< M figure in (1.4,1.3) l1,2 (1.6, 1,4) +

A: Given: The graph of f as  To find: The numbers m and M such that m&lt;f'1&lt;M

Q: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: 7. Which interval is the real number t in such that the following A is PD A = 5 -1 3 -1 3 2 t t 3

A: Given matrix is                                 therefore A is symmetric matrix.…

Q: 6.3.6 For each real number x, let Ay = {3, –2} U {y E R : y > x}. Find U Ax and N Ax. xER xER

A:

Q: 3. Show that 1 > 0. 4. Show that if a > b and c < 0, then ac < bc.

A:

Q: 4. Find an upper and a lower bound for the set E= x +1 : -1 < x2 +1

A: Given: E=x+1x2+1:-1&lt;x≤2

Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: Determine the intersection X ∩ Y. Express the in interval notation. X = {x/ x>equal 8} and Y =…

A:

Q: For each, n = 25.  Show work in the form of what you entered in to your calculator ie tcdf(-1e99,…

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we…

Q: 3. If а, 1000". Find N E I, the set of positive integers, such that an+1 N). n!

A: Given an=1000nn!. We have to find the N∈I such that an+1&lt;an, n&gt;N. For n=1 a1=100011! For n=2…

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

A:

Q: a. Which of the following represents all values of x whose distance from 5 is less than 6? Select…

A: