{"id":4728,"date":"2022-09-01T14:09:57","date_gmt":"2022-09-01T12:09:57","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/"},"modified":"2022-09-01T14:09:57","modified_gmt":"2022-09-01T12:09:57","slug":"nerovnice-priklad-2","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/","title":{"rendered":"Nerovnice &#8211; p\u0159\u00edklad 2"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed:<\/strong> $$\\frac{14-2x}{-2}+2&lt;0$$<br \/>V oboru <em><strong>R<\/strong><\/em> \u0159e\u0161te nerovnici a mno\u017einu v\u0161ech \u0159e\u0161en\u00ed zapi\u0161te intervalem.<\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p>1) Zbav\u00edme se zlomku, \u010d\u00edslo 2 vyn\u00e1sob\u00edme spole\u010dn\u00fdm (z\u00e1porn\u00fdm) jmenovatelem (-2):<br \/>$$&nbsp;14-2x-4&nbsp;&gt; 0$$<br \/>2) Uprav\u00edme \u010d\u00edsla, se\u010dteme 14 a (-4):<br \/>$$&nbsp;10-2x&gt;0$$<br \/>3) Nezn\u00e1m\u00e9 nech\u00e1me na jedn\u00e9 stran\u011b a p\u0159evedeme \u010d\u00edslo:<br \/>$$&nbsp;-2x &gt; -10$$<br \/>4) P\u0159epo\u010d\u00edt\u00e1me na 1x (p\u0159i p\u0159evodu m\u011bn\u00edme znam\u00e9nko):<br \/>$$ x&lt;5$$<br \/>$$&nbsp;x&nbsp;\u2208 (-\u221e;5)$$<\/p>\n<p>\u010casov\u00e1 n\u00e1ro\u010dnost: 3 minuty<\/p>\n<p> Jedn\u00e1 se o p\u0159\u00edklad z maturitn\u00edho testu.<\/p>\n","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-4728","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Nerovnice - p\u0159\u00edklad 2 | Studijni-svet.cz<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Nerovnice - p\u0159\u00edklad 2 | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed: $$frac{14-2x}{-2}+2&lt;0$$V oboru R \u0159e\u0161te nerovnici a mno\u017einu v\u0161ech \u0159e\u0161en\u00ed zapi\u0161te intervalem. \u0158e\u0161en\u00ed: 1) Zbav\u00edme se zlomku, \u010d\u00edslo 2 vyn\u00e1sob\u00edme spole\u010dn\u00fdm (z\u00e1porn\u00fdm) jmenovatelem (-2):$$&nbsp;14-2x-4&nbsp;&gt; 0$$2) Uprav\u00edme \u010d\u00edsla, se\u010dteme 14 a (-4):$$&nbsp;10-2x&gt;0$$3) Nezn\u00e1m\u00e9 nech\u00e1me na jedn\u00e9 stran\u011b a p\u0159evedeme \u010d\u00edslo:$$&nbsp;-2x &gt; -10$$4) P\u0159epo\u010d\u00edt\u00e1me na 1x (p\u0159i p\u0159evodu m\u011bn\u00edme znam\u00e9nko):$$ x&lt;5$$$$&nbsp;x&nbsp;\u2208 (-\u221e;5)$$ \u010casov\u00e1 n\u00e1ro\u010dnost: 3 minuty Jedn\u00e1 ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/\" \/>\n<meta property=\"og:site_name\" content=\"Studijni-svet.cz\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/studijnisvet\/\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Odhadovan\u00e1 doba \u010dten\u00ed\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/\",\"url\":\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/\",\"name\":\"Nerovnice - p\u0159\u00edklad 2 | Studijni-svet.cz\",\"isPartOf\":{\"@id\":\"https:\/\/studijni-svet.cz\/kurzy\/#website\"},\"datePublished\":\"2022-09-01T12:09:57+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/#breadcrumb\"},\"inLanguage\":\"cs\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\u016f\",\"item\":\"https:\/\/studijni-svet.cz\/kurzy\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Lekce\",\"item\":\"https:\/\/studijni-svet.cz\/kurzy\/lesson\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Matematika k maturit\u011b\",\"item\":\"https:\/\/studijni-svet.cz\/kurzy\/prehled\/matematika-k-maturite\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Nerovnice &#8211; p\u0159\u00edklad 2\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/studijni-svet.cz\/kurzy\/#website\",\"url\":\"https:\/\/studijni-svet.cz\/kurzy\/\",\"name\":\"Akademie Studijni-svet.cz | Kurzy a podklady\",\"description\":\"Online akademie | Kurzy a podklady\",\"publisher\":{\"@id\":\"https:\/\/studijni-svet.cz\/kurzy\/#organization\"},\"alternateName\":\"Akademie Studijni-svet.cz\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/studijni-svet.cz\/kurzy\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"cs\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/studijni-svet.cz\/kurzy\/#organization\",\"name\":\"Studijni-svet.cz\",\"url\":\"https:\/\/studijni-svet.cz\/kurzy\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"cs\",\"@id\":\"https:\/\/studijni-svet.cz\/kurzy\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/01\/SS_logo-1.png\",\"contentUrl\":\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/01\/SS_logo-1.png\",\"width\":66,\"height\":75,\"caption\":\"Studijni-svet.cz\"},\"image\":{\"@id\":\"https:\/\/studijni-svet.cz\/kurzy\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/studijnisvet\/\",\"https:\/\/www.instagram.com\/studijnisvet.cz\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Nerovnice - p\u0159\u00edklad 2 | Studijni-svet.cz","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/","og_locale":"cs_CZ","og_type":"article","og_title":"Nerovnice - p\u0159\u00edklad 2 | Studijni-svet.cz","og_description":"Zad\u00e1n\u00ed: $$frac{14-2x}{-2}+2&lt;0$$V oboru R \u0159e\u0161te nerovnici a mno\u017einu v\u0161ech \u0159e\u0161en\u00ed zapi\u0161te intervalem. \u0158e\u0161en\u00ed: 1) Zbav\u00edme se zlomku, \u010d\u00edslo 2 vyn\u00e1sob\u00edme spole\u010dn\u00fdm (z\u00e1porn\u00fdm) jmenovatelem (-2):$$&nbsp;14-2x-4&nbsp;&gt; 0$$2) Uprav\u00edme \u010d\u00edsla, se\u010dteme 14 a (-4):$$&nbsp;10-2x&gt;0$$3) Nezn\u00e1m\u00e9 nech\u00e1me na jedn\u00e9 stran\u011b a p\u0159evedeme \u010d\u00edslo:$$&nbsp;-2x &gt; -10$$4) P\u0159epo\u010d\u00edt\u00e1me na 1x (p\u0159i p\u0159evodu m\u011bn\u00edme znam\u00e9nko):$$ x&lt;5$$$$&nbsp;x&nbsp;\u2208 (-\u221e;5)$$ \u010casov\u00e1 n\u00e1ro\u010dnost: 3 minuty Jedn\u00e1 ... Read more","og_url":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/","og_site_name":"Studijni-svet.cz","article_publisher":"https:\/\/www.facebook.com\/studijnisvet\/","twitter_card":"summary_large_image","twitter_misc":{"Odhadovan\u00e1 doba \u010dten\u00ed":"1 minuta"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/","url":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/","name":"Nerovnice - p\u0159\u00edklad 2 | Studijni-svet.cz","isPartOf":{"@id":"https:\/\/studijni-svet.cz\/kurzy\/#website"},"datePublished":"2022-09-01T12:09:57+00:00","breadcrumb":{"@id":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/#breadcrumb"},"inLanguage":"cs","potentialAction":[{"@type":"ReadAction","target":["https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/nerovnice-priklad-2\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Dom\u016f","item":"https:\/\/studijni-svet.cz\/kurzy\/"},{"@type":"ListItem","position":2,"name":"Lekce","item":"https:\/\/studijni-svet.cz\/kurzy\/lesson\/"},{"@type":"ListItem","position":3,"name":"Matematika k maturit\u011b","item":"https:\/\/studijni-svet.cz\/kurzy\/prehled\/matematika-k-maturite\/"},{"@type":"ListItem","position":4,"name":"Nerovnice &#8211; p\u0159\u00edklad 2"}]},{"@type":"WebSite","@id":"https:\/\/studijni-svet.cz\/kurzy\/#website","url":"https:\/\/studijni-svet.cz\/kurzy\/","name":"Akademie Studijni-svet.cz | Kurzy a podklady","description":"Online akademie | Kurzy a podklady","publisher":{"@id":"https:\/\/studijni-svet.cz\/kurzy\/#organization"},"alternateName":"Akademie Studijni-svet.cz","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/studijni-svet.cz\/kurzy\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"cs"},{"@type":"Organization","@id":"https:\/\/studijni-svet.cz\/kurzy\/#organization","name":"Studijni-svet.cz","url":"https:\/\/studijni-svet.cz\/kurzy\/","logo":{"@type":"ImageObject","inLanguage":"cs","@id":"https:\/\/studijni-svet.cz\/kurzy\/#\/schema\/logo\/image\/","url":"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/01\/SS_logo-1.png","contentUrl":"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/01\/SS_logo-1.png","width":66,"height":75,"caption":"Studijni-svet.cz"},"image":{"@id":"https:\/\/studijni-svet.cz\/kurzy\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/studijnisvet\/","https:\/\/www.instagram.com\/studijnisvet.cz"]}]}},"_links":{"self":[{"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/lesson\/4728","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/lesson"}],"about":[{"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/types\/lesson"}],"replies":[{"embeddable":true,"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/comments?post=4728"}],"version-history":[{"count":0,"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/lesson\/4728\/revisions"}],"wp:attachment":[{"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/media?parent=4728"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}