A. REEL (GER\u00c7EL) SAYI ARALIKLARI
\n1. Kapal\u0131 Aral\u0131k
\na < b olsun.\na 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.\n2. A\u00e7\u0131k Aral\u0131k ve Yar\u0131 A\u00e7\u0131k Aral\u0131k\ni) (a, b) veya a < x < b, x \u00ce IR ifadesine a\u00e7\u0131k aral\u0131k denir.\nii) (a, b) a\u00e7\u0131k aral\u0131\u011f\u0131n\u0131n u\u00e7 noktalar\u0131ndan herhangi birinin dahil edilmesiyle elde edilen 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.\nB. E\u015e\u0130TS\u0130ZL\u0130\u011e\u0130N \u00d6ZELL\u0130KLER\u0130\n1) 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\na < b \na + c < b + c\na \u2013 d < b \u2013 d dir.\n2) 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 kal\u0131r. Negatif say\u0131 ile \u00e7arp\u0131l\u0131rsa ya da b\u00f6l\u00fcn\u00fcrse e\u015fitsizlik y\u00f6n de\u011fi\u015ftirir.\n\na < b\n\nc > 0 ise, a . c < b . c\n\nd < 0 ise, a . d > b . d
\nk > 0 ise,
\nm < 0 ise, \n\n3) 0 < a < b ise,\n4) a < b < 0 ise,\n5) a < 0 < b ise,\n6) 0 < a < b ve n \u00ce IN+ ise, an < bn dir.\n7) a < b < 0 ve n \u00ce IN+ ise, a2n > b2na2n+1 < b2n+1(2n : \u00c7ift do\u011fal say\u0131d\u0131r.)\n(2n+1 : Tek do\u011fal say\u0131d\u0131r.)\n8) a < b ve b < c \u00ae a < c dir.\n9) 0 < a < 1 ve n \u00ce IN+ \u2013 {1} ise, an < a d\u0131r.\n10) a > b
\n+ c > d
\n\u00be\u00be \u00be\u00be\u00be\u00be\u00be\u00be
\na + c > b + d
\n11) 0 < a < b\nx 0 < c < d\n\u00be\u00be\u00be\u00be\u00be\u00be\u00be\u00be\u00be\u00be\u00be\n0 < a . c < b . d\n12) a . b < 0 ise, a ile b z\u0131t i\u015faretlidir.\n13) 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 i) (a, …\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":[7357,7358],"class_list":["post-3138","post","type-post","status-publish","format-standard","hentry","category-matematik-odevleri","category-odevler","tag-basit-esitsizlik","tag-kapali-aralik"],"_links":{"self":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3138","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=3138"}],"version-history":[{"count":0,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3138\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/media?parent=3138"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/categories?post=3138"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/tags?post=3138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}