2 zadanka ze zbiorów...
: 3 paź 2007, o 17:48
1. Zbiory określone za pomocą formy zdaniowej zapisz prościej:
A.\(\displaystyle{ % MathType!MTEF!2!1!+-
% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9
% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x
% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiqaaeaaca
% WG4bGaeyicI4SaamOuaiaacQdacaGGOaGaamiEaiabg6da+iaaicda
% caGGPaGaeyO0H4TaaiikaiaadIhadaahaaWcbeqaaiaaikdaaaaaki
% aawUhaaiabg6da+iaaicdacaGGPaWaaiGaaeaaaiaaw2haaaaa!47BA!
\[
\left\{ {x \in R:(x > 0) \Rightarrow (x^2 } \right. > 0)\left. {} \right\}
\]}\)
B. \(\displaystyle{ % MathType!MTEF!2!1!+-
% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9
% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x
% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiqaaeaaca
% GGOaGaamiEaiaacYcacaWG5bGaaiilaiaadQhacaGGPaGaaiOoaiaa
% dIhacaGGSaGaamyEaiaacYcacaWG6bGaeyicI4SaamOtaiabgEIizl
% aadIhacqGH8aapcaWG5bGaeyipaWJaamOEaiabgEIizlaadIhacaWG
% 5bGaamOEaiabg2da9iaaigdacaaI2aWaaiGaaeaaaiaaw2haaaGaay
% 5Eaaaaaa!531F!
\[
ft\{ {(x,y,z):x,y,z N x < y < z xyz = 16\left. {} \right\}} \right.
\]}\)
2. Podaj przykłady warunków które spełniają tylko elementy zbiorów:
A.\(\displaystyle{ % MathType!MTEF!2!1!+-
% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9
% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x
% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaai4waiabgk
% HiTiaaigdacaGGSaGaaG4naiaac2faaaa!3AC6!
\[
[ - 1,7]
\]}\)
B. \(\displaystyle{ % MathType!MTEF!2!1!+-
% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9
% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x
% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiqaaeaacq
% GHsislcaaIXaGaaiilaiaaigdacaGGSaGaeyOeI0IaaG4maiaacYca
% caaIZaGaaiilaiabgkHiTiaaiwdacaGGSaGaaGynaiaacYcacqGHsi
% slcaaIXaGaaGynaiaacYcacaaIXaGaaGynamaaciaabaaacaGL9baa
% aiaawUhaaaaa!480A!
\[
ft\{ { - 1,1, - 3,3, - 5,5, - 15,15\left. {} \right\}} \right.
\]}\)
z góry dzięki za pomoc
A.\(\displaystyle{ % MathType!MTEF!2!1!+-
% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9
% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x
% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiqaaeaaca
% WG4bGaeyicI4SaamOuaiaacQdacaGGOaGaamiEaiabg6da+iaaicda
% caGGPaGaeyO0H4TaaiikaiaadIhadaahaaWcbeqaaiaaikdaaaaaki
% aawUhaaiabg6da+iaaicdacaGGPaWaaiGaaeaaaiaaw2haaaaa!47BA!
\[
\left\{ {x \in R:(x > 0) \Rightarrow (x^2 } \right. > 0)\left. {} \right\}
\]}\)
B. \(\displaystyle{ % MathType!MTEF!2!1!+-
% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9
% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x
% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiqaaeaaca
% GGOaGaamiEaiaacYcacaWG5bGaaiilaiaadQhacaGGPaGaaiOoaiaa
% dIhacaGGSaGaamyEaiaacYcacaWG6bGaeyicI4SaamOtaiabgEIizl
% aadIhacqGH8aapcaWG5bGaeyipaWJaamOEaiabgEIizlaadIhacaWG
% 5bGaamOEaiabg2da9iaaigdacaaI2aWaaiGaaeaaaiaaw2haaaGaay
% 5Eaaaaaa!531F!
\[
ft\{ {(x,y,z):x,y,z N x < y < z xyz = 16\left. {} \right\}} \right.
\]}\)
2. Podaj przykłady warunków które spełniają tylko elementy zbiorów:
A.\(\displaystyle{ % MathType!MTEF!2!1!+-
% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9
% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x
% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaai4waiabgk
% HiTiaaigdacaGGSaGaaG4naiaac2faaaa!3AC6!
\[
[ - 1,7]
\]}\)
B. \(\displaystyle{ % MathType!MTEF!2!1!+-
% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9
% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x
% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaiqaaeaacq
% GHsislcaaIXaGaaiilaiaaigdacaGGSaGaeyOeI0IaaG4maiaacYca
% caaIZaGaaiilaiabgkHiTiaaiwdacaGGSaGaaGynaiaacYcacqGHsi
% slcaaIXaGaaGynaiaacYcacaaIXaGaaGynamaaciaabaaacaGL9baa
% aiaawUhaaaaa!480A!
\[
ft\{ { - 1,1, - 3,3, - 5,5, - 15,15\left. {} \right\}} \right.
\]}\)
z góry dzięki za pomoc