{"id":3289,"date":"2023-10-04T13:58:00","date_gmt":"2023-10-04T13:58:00","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=3289"},"modified":"2023-10-04T14:01:39","modified_gmt":"2023-10-04T14:01:39","slug":"week-3-ss2-second-term-mathematics-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-3-ss2-second-term-mathematics-notes\/","title":{"rendered":"Week 3 – SS2 Second Term Mathematics Notes"},"content":{"rendered":"

\u00a0WEEK 3
\n<\/strong>REVISION OF LINEAR INEQUALITIES IN VARIABLE
\n<\/strong>The term inequality applies to any statement involving one of the symbols. Similar to ordinary equations, inequality equations too have solutions
\nRules for finding the solutions to inequality equations
\n<\/strong><\/p>\n

    \n
  1. Add or subtract at the same expression or number to both sides of the inequality and preserve the inequality sign.\n<\/li>\n
  2. Multiply or divide both sides of the inequality by the same positive number and preserve the inequality sign.\n<\/li>\n
  3. \n
    Multiply or divide both sides of the inequality by the same negative number and reverse the inequality sign.\n<\/div>\n

    The expression 3x \u2013 1 > x + 1 is a linear inequality in one variable x. Thus, a linear inequality in x is an inequality in which the highest power of x is one (unity).
    \nSolve the following linear inequality and represent them on a number line.
    \n\"\"\/A number line is used to illustrate linear inequalities in one variable. A point x = a divides the number line into 2 parts, x < a and x > a\n<\/li>\n<\/ol>\n

    \u00a0
    \n\u00a0\"\"\/
    \n\t\t\"\"\/But when x = a is included, the number line becomes <\/p>\n

    \u00a0
    \n\u00a0
    \n\u00a0
    \n\u00a0A line segment from a to be is denoted by a and it is shown below
    \n\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/
    \n\t\t\"\"\/
    \n\t\t\t<\/strong><\/p>\n

      \n
    1. \n
      4x + 8 < 3x + 16\n<\/div>\n

      Subtract 8 from both sides
      \n4x + 8 \u2013 8 < 3x \u2013 8 + 16
      \n4x < 3x + 8
      \nSubtract 3x from both sides
      \n4x \u2013 3x < 3x + 8 \u2013 3x
      \n\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/X < + 8\n<\/li>\n<\/ol>\n

      ii.\u00a0\u00a0\u00a0\u00a03 (x \u2013 6) 9 (x \u2013 1)
      \n\u00a0\u00a0\u00a0\u00a0open the brackets
      \n\u00a0\u00a0\u00a0\u00a03x \u2013 18 9x \u2013 9
      \n\u00a0\u00a0\u00a0\u00a0Collect like terms
      \n\u00a0\u00a0\u00a0\u00a03x \u2013 9x -9 + 18
      \n\u00a0\u00a0\u00a0\u00a0<\/strong>-6x + 9
      \n\u00a0\u00a0\u00a0\u00a0<\/strong>Divide through by -6 and change the sign.
      \n\u00a0\u00a0\u00a0\u00a0
      \n\u00a0\u00a0\u00a0\u00a0X
      \n\u00a0\u00a0\u00a0\u00a0(x 2)
      \niii.\u00a0\u00a0\u00a0\u00a05 (x + 2) \u2013 2(4x -1) > 6(2x -3)
      \niv.\u00a0\u00a0\u00a0\u00a0<\/p>\n

      \u00a0\"\"\/\"\"\/v. \u00a0\u00a0\u00a0\u00a0 3 \u2013 3x < 6 (-1 < x < 3)
      \nvi.\u00a0\u00a0\u00a0\u00a0(2x + 7) – (1 \u2013 4) < 4 + x <\/p>\n

      \u00a0Assignment;<\/strong> page 95 exercise C2 number 1 to 3<\/p>\n

      \u00a0
      \n\u00a0
      \n\t\t\t<\/strong>\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"

      \u00a0WEEK 3 REVISION OF LINEAR INEQUALITIES IN VARIABLE The term inequality applies to any statement…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,264],"tags":[],"class_list":["post-3289","post","type-post","status-publish","format-standard","hentry","category-posts","category-second-term-ss2-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/3289","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/comments?post=3289"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/3289\/revisions"}],"predecessor-version":[{"id":3290,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/3289\/revisions\/3290"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=3289"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=3289"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=3289"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}