Set Theory – Page 16

Question-69568

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Question Number 69568 by Ajao yinka last updated on 25/Sep/19 Commented by mathmax by abdo last updated on 25/Sep/19 $i f n = 1 H = C i f n \neq 1 w e h a v e z = z^{n} \Leftrightarrow z^{n - 1} = 1 l e t z = r e^{i θ} s o$ $${z}^{{n}−\mathrm{1}}…

Let-A-denotes-the-Set-of-Algebraic-Numbers-and-T-the-Set-of-Trancedental-Numbers-Discuss-the-following-Are-A-and-T-closed-with-respect-to-addition-and-multiplication-Are-A-0-and-T-clos

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Question Number 4027 by Rasheed Soomro last updated on 27/Dec/15 $L e t A d e n o t e s t h e S e t o f A l g e b r a i c N u m b e r s$ $a n d T t h e S e t o f T r a n c e d e n t a l N u m b e r s .$ $D i s c u s s t h e f o l l o w i n g :$ $∙ A r e A a n d T c l o s e d w i t h r e s p e c t t o$ $a d d i t i o n a n d m u l t i p l i c a t i o n ?$ $∙ A r e A - {0) a n d T c l o s e d w i t h r e s p e c t t o$ $d i v i s i o n ?$ …

Prove-that-P-set-of-prime-numbers-is-countable-

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Question Number 3551 by prakash jain last updated on 15/Dec/15 $Prove that P set of prime numbers is$ $countable .$ Commented by Filup last updated on 15/Dec/15 $ah, i understand the question now .$ $$\mathrm{I}\:\mathrm{can}'\mathrm{t}\:\mathrm{answer}\:\mathrm{it},\:\mathrm{though}…

If-A-B-C-and-D-are-any-four-sets-then-i-A-B-C-D-A-C-B-D-ii-A-B-C-D-A-C-B-D-

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Question Number 3130 by Rasheed Soomro last updated on 05/Dec/15 $I f A, B, C a n d D a r e a n y f o u r s e t s t h e n$ $(i) (A - B) \cup (C - D) \overset{?}{=} (A \cup C) - (B \cup D)$ $(i i) (A - B) \cup (C - D) \overset{?}{=} (A \cup C) - (B \cap D)$ Answered by prakash jain last updated…

Question-133949

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Question Number 133949 by sdfg last updated on 25/Feb/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Prove-the-set-1-2-3-1989-can-be-expressed-as-the-disjoint-union-of-A-1-A-2-A-117-such-that-i-each-A-i-contains-the-same-number-of-elements-and-ii-the-sum-of-all-elements-of-each-A

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Question Number 133419 by liberty last updated on 22/Feb/21 $Prove the set {1, 2, 3, \dots, 1989}$ $can be expressed as the disjoint$ $union of A_{1}, A_{2}, \dots, A_{117} such that$ $(i) each A_{i} contains the same number of elements, and$ $(ii) the sum of all elements of each A_{i} is$ $$\mathrm{the}\:\mathrm{same}\:\mathrm{for}\:\mathrm{i}=\mathrm{1},\mathrm{2},\mathrm{3},…,\mathrm{m}…

Given-that-Z-0-1-2-all-integers-0-R-0-0-01-1-1-01-all-reals-0-Prove-that-R-gt-Z-

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Question Number 1875 by Filup last updated on 20/Oct/15 $Given that :$ $Z = {0, 1, 2, \dots} all integers ⩾ 0$ $R = {0, 0.01, \dots, 1, 1.01, \dots} all reals ⩾ 0$ $Prove that ∣ R ∣>∣ Z ∣$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-1763

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Question Number 1763 by Gerlândio Almeida last updated on 18/Sep/15 Commented by 123456 last updated on 18/Sep/15 $p_{0} (n) = x n$ $${r}\left({n}\right)=\alpha{xn} \…

If-A-and-B-are-two-sets-and-U-is-a-universal-set-prove-that-A-B-B-A-A-B-

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Question Number 1744 by Rasheed Ahmad last updated on 13/Sep/15 $I f A a n d B a r e t w o s e t s a n d U i s$ $a u n i v e r s a l s e t p r o v e t h a t$ $A \subseteq B \Rightarrow B = A \cup (A^{'} \cap B)$ Answered by Rasheed Ahmad last updated on 19/Sep/15…

Are-A-B-A-B-and-A-B-completely-equivalent-Simplify-A-B-A-B-to-A-B-using-set-operations-and-their-properties-

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Question Number 1698 by Rasheed Ahmad last updated on 01/Sep/15 $∙ A r e A \cup B = A \cap B a n d A = B$ $c o m p l e t e l y e q u i v a l e n t ?$ $∙ S i m p l i f y A \cup B = A \cap B t o A = B$ $u s i n g s e t o p e r a t i o n s a n d t h e i r$ $p r o p e r t i e s .$ Answered by 123456 last…

Category: Set Theory