23. For each of the following set o (a)Σχ” (b) (ΣΧ) (c)Σ(X- X

Q: contrapositive and converse of each statement. (a) If all birds fly, and if Tweety is a bird, then…

A:

Q: (e) If each fn has at most a countable number of discontinuities, then f hasat most a countable…

A: Consider the example: fnx=1q             x= pqwith p,q∈N, gcdp,q=1,q≤n0             otherwise So,…

Q: Let S be the set S={(x+y) l 2x+3y>=(greater than or equal to) 12} What would be Sc  (S complement)…

A: The given set is: S=x,y∈ℝ2 | 2x+3y ≥12 Cleary S⊂ℝ2.

Q: (x – 2)²(x+3) (x - 1) (x+2) 6) Let R(x)

A:

Q: Prove that 2 1 1 5 2 (4-2x)² for all relevant x-values

A: Given is a expression  1215-x>24-2x2. It is required to prove the given expression for all…

Q: (e) ((SNT)US) (f) U-S (called the complement of S) Given that the set S contains n elements, show…

A: To show that a set S with n elements has 2^n subsets, you can use the concept of the power set. The…

Q: Find the equations of the asymptotes of R.

A:

Q: 2 For 1 X+ 1 and g(x)=, find b. the domain of fo g a. (fo g)(x): a. (fo g)(x)= (Simplify your…

A: Answer: (fog)(x)=2/(x+2)

Q: (c) If each fn has a finite number of discontinuities, then f has a finite numberof discontinuities.

A: The given statement is: If each fn has finitely many discontinuities then f has finitely many…

Q: The counterexample of A = {1} and B = Ø disproves which of the following statements where P(X)…

A: Given that A=1,B=∅. For (a). PA∩B=P1,∅∩∅=P∅=∅ And, P(A)∩P(B)=P1∩P(∅)=1,∅∩∅=∅ Hence statement of (a)…

Q: Given a finite set S, find all possible values of |S] so that the set {(a, b) | (a E S) A (b e S) ^…

A:

Q: Let S be the set of all strings of a's and b's of length 3. Let B = {0, 1}. Let f: S B be defined as…

A: S be the set of all strings of a's and b's of length 3 . Then to find f(aaa) , f(aab) , list all the…

Q: Let A = {1, 2, 3}, B= {4,5,6, 7} If f: A x B → N with f((a, b) = b – a , find the following. a. f…

A:

Q: 2. Let S = {0, 1, 2, 3, 4} and T = {0, 2, 4). (a) How many ordered pairs are in S × T? T × S? (b)…

A: 12. Given that,                    S=0, 1, 2, 3, 4  & T=0, 2, 4.