A. REEL (GER\u00c7EL) SAYI ARALIKLARI<\/p>\n
1. Kapal\u0131 Aral\u0131k
\n ***
\n a < b olsun.\n a ve b say\u0131lar\u0131 ile bu say\u0131lar\u0131n aras\u0131ndaki t\u00fcm reel (ger\u00e7el) say\u0131lar\u0131 kapsayan aral\u0131k\n [a, b] veya a \u00a3 x \u00a3 b, x \u00ce IR bi\u00e7iminde g\u00f6sterilir ve \u201ca, b kapal\u0131 aral\u0131\u011f\u0131\u201d diye okunur.\n *\n 2. A\u00e7\u0131k Aral\u0131k ve Yar\u0131 A\u00e7\u0131k Aral\u0131k\n\n I) \n *\n (a, b) veya a < x < b, x \u00ce IR ifadesine a\u00e7\u0131k aral\u0131k denir.\n\n II) (a, b) a\u00e7\u0131k aral\u0131\u011f\u0131n\u0131n u\u00e7 noktalar\u0131ndan herhangi birinin dahil edilmesiyle elde edilen\n *** aral\u0131\u011fa yar\u0131 a\u00e7\u0131k aral\u0131k denir.\n *** \n [a, b) veya a \u00a3 x < b ifadesine sa\u011fdan a\u00e7\u0131k aral\u0131k denir.\n * \n * \n B. E\u015e\u0130TS\u0130ZL\u0130\u011e\u0130N \u00d6ZEL\u0130KLER\u0130\n\n 1) Bir e\u015fitsizli\u011fin her iki yan\u0131na ayn\u0131 say\u0131 eklenir ya da \u00e7\u0131kar\u0131l\u0131rsa e\u015fitsizlik ayn\u0131 kal\u0131r.\n *\n ********* a < b olmak \u00fczere,\n **** a + c < b + c\n **** a \u2013 d < b \u2013 d* dir.\n\n 2) Bir e\u015fitsizli\u011fin her iki yan\u0131 pozitif bir say\u0131 ile \u00e7arp\u0131l\u0131rsa ya da b\u00f6l\u00fcn\u00fcrse e\u015fitsizlik ayn\u0131 \n **** kal\u0131r. Negatif say\u0131 ile \u00e7arp\u0131l\u0131rsa ya da b\u00f6l\u00fcn\u00fcrse e\u015fitsizlik y\u00f6n de\u011fi\u015ftirir.\n *\n *********************** a < b* olmak \u00fczere,\n **** c > 0 ise, a . c < b . c\n **** d < 0 ise, a . d > b . d
\n **** k > 0 ise,
\n **** m < 0 ise, \n\n 3)* 0 < a < b ise, \n *\n 4)* a < b < 0 ise, \n *\n 5)* a < 0 < b ise, \n *\n 6)* 0 < a < b ve n \u00ce IN+ ise, an < bn* dir.\n 7)* a < b < 0 ve n \u00ce IN+ ise, a2n > b2n
\n ************************************* a2n+1 < b2n+1\n ***** (2n : \u00c7ift do\u011fal say\u0131d\u0131r.)\n **** (2n+1 : Tek do\u011fal say\u0131d\u0131r.)\n 8)* a < b ve b < c \u00aa a < c dir.\n 9)* 0 < a < 1 ve n \u00ce IN+ \u2013 {1} ise, an < a d\u0131r.\n 10) \n *** \n 11)* E\u015fitsizlikleri taraf tarafa \u00e7arpma ya da b\u00f6lme her zaman do\u011fru olmaz.\n 12)* \n **** \n\n 13) a . b < 0 ise, a ile b z\u0131t i\u015faretlidir.\n 14) a . b > 0 ise, a ile b ayn\u0131 i\u015faretlidir.<\/p>\n","protected":false},"excerpt":{"rendered":"
A. REEL (GER\u00c7EL) SAYI ARALIKLARI 1. Kapal\u0131 Aral\u0131k *** a < b olsun. a ve b say\u0131lar\u0131 ile bu say\u0131lar\u0131n aras\u0131ndaki t\u00fcm reel (ger\u00e7el) say\u0131lar\u0131 kapsayan aral\u0131k [a, b] veya a \u00a3 x \u00a3 b, x \u00ce IR bi\u00e7iminde g\u00f6sterilir ve \u201ca, b kapal\u0131 aral\u0131\u011f\u0131\u201d diye okunur. * 2. A\u00e7\u0131k Aral\u0131k ve Yar\u0131 A\u00e7\u0131k Aral\u0131k …\n<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1404,1403],"tags":[10024,10023,7358],"class_list":["post-4620","post","type-post","status-publish","format-standard","hentry","category-matematik-odevleri","category-odevler","tag-acik-aralik","tag-basit-esitsizlikler","tag-kapali-aralik"],"_links":{"self":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/4620","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/comments?post=4620"}],"version-history":[{"count":0,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/4620\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/media?parent=4620"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/categories?post=4620"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/tags?post=4620"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}