{"id":2817,"date":"2023-11-09T22:20:56","date_gmt":"2023-11-09T21:20:56","guid":{"rendered":"https:\/\/mxth.dk\/?p=2817"},"modified":"2026-04-09T22:35:36","modified_gmt":"2026-04-09T20:35:36","slug":"maengder","status":"publish","type":"post","link":"https:\/\/mxth.dk\/?p=2817","title":{"rendered":"M\u00e6ngder"},"content":{"rendered":"\n\n\n\n\n\n\n\n\n\n\n\n\n
Opgave 3<\/h5>\n\n\n\n

Betragt m\u00e6ngderne<\/p>\n\n\n\n

\\(\\begin{align}A&=\\{1,2,3,4\\}\\\\ B&=\\{3,5,7,9\\}\\\\ C&=\\{2,4,6,8\\} \\end{align}\\) <\/p>\n\n\n

    \n
  1. Bestem \\(A\\cup B\\)<\/li>\n\n\n\n
  2. Bestem \\(A\\cap C\\)<\/li>\n\n\n\n
  3. Bestem \\(A\\cup B \\cap C\\)<\/li>\n\n\n\n
  4. Bestem \\(A\\cap B\\cap C\\)<\/li>\n<\/ol>\n\n\n

    OPGAVE 4<\/strong><\/p>\n\n\n\n

    Betragt m\u00e6ngderne<\/p>\n\n\n\n

    \\(\\begin{align}A&=\\{2,4,6,8,10,12\\}\\\\ B&=\\{4,8,12,16,20,24\\}\\\\C&=\\{1,2,3,4,5,6\\}\\end{align}\\)<\/p>\n\n\n

      \n
    1. Bestem \\(A\\cup B\\), \\(A\\cup C\\) og \\(B\\cup C\\)<\/li>\n\n\n\n
    2. Bestem \\(A\\cap B\\), \\(A\\cap C\\) og \\(B\\cap C\\)<\/li>\n\n\n\n
    3. Bestem \\(A\\cup B\\cup C\\)<\/li>\n\n\n\n
    4. Bestem \\(C\\cup B\\cup A\\)<\/li>\n\n\n\n
    5. Bestem \\(A\\cap B\\cap C\\)<\/li>\n\n\n\n
    6. Bestem \\(C\\cap B\\cap A\\)<\/li>\n\n\n\n
    7. Bestem \\(A\\cup B\\cap C\\)<\/li>\n\n\n\n
    8. Bestem \\(C\\cup B\\cap A\\)<\/li>\n\n\n\n
    9. Bestem \\(A\\cap B\\cup C\\)<\/li>\n\n\n\n
    10. Bestem \\(C\\cap B\\cup A\\)<\/li>\n<\/ol>\n\n\n

      OPGAVE 5<\/strong><\/p>\n\n\n\n

      Tegn Venn-diagrammer der repr\u00e6sentere m\u00e6ngder for underopgaverne 1, 2, 3, 4, 5, 6 i opgave 4.<\/p>\n\n\n\n

      OPGAVE 6<\/strong><\/p>\n\n\n\n

      Kan du ud fra opgave 4 og 5 sige noget om, hvilke regneregler du tror der g\u00e6lder for regneoperationerne \\(\\cup\\) og \\(\\cap\\).<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"

      Opgave 3 Betragt m\u00e6ngderne \\(\\begin{align}A&=\\{1,2,3,4\\}\\\\ B&=\\{3,5,7,9\\}\\\\ C&=\\{2,4,6,8\\} \\end{align}\\)  OPGAVE 4 Betragt m\u00e6ngderne \\(\\begin{align}A&=\\{2,4,6,8,10,12\\}\\\\ B&=\\{4,8,12,16,20,24\\}\\\\C&=\\{1,2,3,4,5,6\\}\\end{align}\\) OPGAVE 5 Tegn Venn-diagrammer der repr\u00e6sentere m\u00e6ngder for underopgaverne 1, 2, 3, 4, 5, 6 i opgave 4. OPGAVE 6 Kan du ud fra opgave 4 og 5 sige noget om, hvilke regneregler du tror der g\u00e6lder for regneoperationerne \\(\\cup\\) og […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","editor_plus_copied_stylings":"{}","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3,56],"tags":[67,74],"class_list":["post-2817","post","type-post","status-publish","format-standard","hentry","category-matematik","category-maengdelaere","tag-hhx","tag-htx"],"featured_image_src":null,"author_info":{"display_name":"Henriksen","author_link":"https:\/\/mxth.dk\/?author=1"},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2817","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2817"}],"version-history":[{"count":9,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2817\/revisions"}],"predecessor-version":[{"id":4309,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2817\/revisions\/4309"}],"wp:attachment":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}