Set Theory – Page 11

Show-that-A-B-B-A-

Tinku Tara June 4, 2023 Set Theory 0 Comments

Question Number 31237 by pieroo last updated on 04/Mar/18 $Show that A - B = B^{'} \cap A .$ Commented by Tinkutara last updated on 04/Mar/18 You can also see on internet https://www.wyzant.com/resources/answers/272263/prove_a_b_a_intersection_b Commented by pieroo last updated…

n-1-1-n-1-n-n-2-

Tinku Tara June 4, 2023 Set Theory 0 Comments

Question Number 161623 by amin96 last updated on 20/Dec/21 $\underset{n = 1}{\sum^{\infty}} \frac{{(- 1)}^{n + 1}}{n (n + 2)} = ?$ Answered by TheSupreme last updated on 20/Dec/21 $$\frac{{A}}{{n}}+\frac{{B}}{{n}+\mathrm{2}}=\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} }{{n}\left({n}+\mathrm{2}\right)} \…

Question-161439

Tinku Tara June 4, 2023 Set Theory 0 Comments

Question Number 161439 by amin96 last updated on 17/Dec/21 Commented by bobhans last updated on 18/Dec/21 $(Q 2) y = \frac{x - ψ}{x^{2} - 5 x + 6} \Rightarrow {yx}^{2} - 5 yx + 6 y = x - ψ$ ${yx}^{2} - (5 y + 1) x + (6 y + ψ) = 0$ $$\:\bigtriangleup\geqslant\mathrm{0}\:\Rightarrow\mathrm{25y}^{\mathrm{2}} +\mathrm{10y}+\mathrm{1}−\mathrm{4y}\left(\mathrm{6y}+\psi\right)\geqslant\mathrm{0}…

Prove-that-A-A-c-A-

Tinku Tara June 4, 2023 Set Theory 0 Comments

Question Number 29014 by A.Ayo last updated on 03/Feb/18 $P r o v e t h a t A \cup A^{c} = A$ Commented by Tinkutara last updated on 03/Feb/18 $A \cup A^{'} = U$ Commented by…

If-n-A-15-and-n-B-25-a-What-are-the-greatest-and-least-values-of-n-AuB-b-What-are-the-greatest-and-least-value-of-n-AnB-c-Draw-Venn-diagrams-to-illustrate-the-four-situations-in-

Tinku Tara June 4, 2023 Set Theory 0 Comments

Question Number 28806 by pieroo last updated on 30/Jan/18 $If n (A) = 15 and n (B) = 25,$ $(a) What are the greatest and least values of n (AuB) ?$ $(b) What are the greatest and least value of n (AnB) ?$ $(c) Draw Venn diagrams to illustrate the four$ $situations in (a) and (b) above$ Answered by Rasheed.Sindhi last updated…

Let-be-the-binary-operation-on-N-given-by-a-b-L-C-M-of-a-and-b-Find-i-5-7-20-16-ii-is-communitative-iii-is-associative-iv-Find-the-identity-of-in-N-v-which-elements-of-N-are-

Tinku Tara June 4, 2023 Set Theory 0 Comments

Question Number 93950 by oustmuchiya@gmail.com last updated on 16/May/20 $L e t * b e t h e b i n a r y o p e r a t i o n o n N$ $g i v e n b y a * b = L . C . M . o f a a n d b . F i n d$ $(i) 5 * 7, 20 * 16 (ii) is * c o m m u n i t a t i v e ?$ $(iii) is * a s s o c i a t i v e ?$ $(iv) F i n d t h e i d e n t i t y o f * i n N$ $(v) which elements of N a r e i n v e r t i b l e$ $f o r t h e o p e r a t i o n * ?$ Answered…

Let-be-the-binary-operation-on-the-set-1-2-3-4-5-defined-by-a-b-H-C-Fof-a-and-b-Is-the-operation-same-as-the-operation-defined-above-justify-your-answer-

Tinku Tara June 4, 2023 Set Theory 0 Comments

Question Number 93933 by oustmuchiya@gmail.com last updated on 16/May/20 $L e t *^{'} b e t h e b i n a r y o p e r a t i o n o n t h e s e t {1, 2, 3, 4, 5} d e f i n e d b y a *^{'} b = H . C . F o f a a n d b .$ $I s t h e o p e r a t i o n *^{'} s a m e a s t h e o p e r a t i o n * d e f i n e d a b o v e ? j u s t i f y y o u r a n s w e r .$ Commented by Rasheed.Sindhi last updated on 16/May/20 $O p e r a t i o n *^{'} i s d e f i n e d i n t h e$ $${question}.{What}\:{do}\:{you}\:{mean}\:{by} \…

Given-that-A-0-1-3-5-B-1-2-4-7-and-C-1-2-3-5-8-prove-that-i-A-B-C-A-B-C-ii-A-B-C-A-B-C-iii-A-B-C-A-C-B-C-iv-A-C-B-A-B-C-B-

Tinku Tara June 4, 2023 Set Theory 0 Comments

Question Number 93567 by oustmuchiya@gmail.com last updated on 13/May/20 $G i v e n t h a t A = {0, 1, 3, 5} B = {1, 2, 4, 7} a n d C = {1, 2, 3, 5, 8} p r o v e t h a t$ $(i) (A \cap B) \cap C = A \cap (B \cap C)$ $(ii) (A \cup B) \cup C = A \cup (B \cup C)$ $(iii) (A \cup B) \cap C = (A \cup C) \cup (B \cap C)$ $(iv) (A \cap C) \cup B = (A \cup B) \cap (C \cup B)$ Commented by Ritu Jain last…

n-2-n-n-2-n-

Tinku Tara June 4, 2023 Set Theory 0 Comments

Question Number 158522 by amin96 last updated on 05/Nov/21 $\underset{n = 2}{\sum^{\infty}} \frac{(ζ (n) - n)}{2^{n}} = ?$ Answered by qaz last updated on 06/Nov/21 $$\underset{\mathrm{n}=\mathrm{2}} {\overset{\infty} {\sum}}\frac{\zeta\left(\mathrm{n}\right)−\mathrm{n}}{\mathrm{2}^{\mathrm{n}}…

Given-a-1-a-2-a-n-are-non-negative-integers-and-satisfy-1-2-a-1-1-2-a-2-1-2-a-n-1-3-a-1-2-3-a-2-n-3-a-n-1-If-n-is-positive-integer-find-all-

Tinku Tara June 4, 2023 Set Theory 0 Comments

Question Number 25723 by Joel578 last updated on 13/Dec/17 $Given a_{1}, a_{2}, \dots, a_{n} are non - negative$ $integers and satisfy$ $$\frac{\mathrm{1}}{\mathrm{2}^{{a}_{\mathrm{1}} } }\:+\:\frac{\mathrm{1}}{\mathrm{2}^{{a}_{\mathrm{2}} } }\:+\:…\:+\:\frac{\mathrm{1}}{\mathrm{2}^{{a}_{{n}} } }\:=\:\frac{\mathrm{1}}{\mathrm{3}^{{a}_{\mathrm{1}} } }\:+\:\frac{\mathrm{2}}{\mathrm{3}^{{a}_{\mathrm{2}}…

Category: Set Theory