{"id":1117,"date":"2023-09-27T12:15:27","date_gmt":"2023-09-27T12:15:27","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=1117"},"modified":"2023-09-27T12:19:15","modified_gmt":"2023-09-27T12:19:15","slug":"week-3-jss-2-second-term-mathematics-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-3-jss-2-second-term-mathematics-lesson-notes\/","title":{"rendered":"Week 3 – Jss 2 Second Term Mathematics Lesson Notes"},"content":{"rendered":"

WEEK 3 LINEAR INEQUALITIES
\nInequality is an algebraic expression formed by replacing the equal sign of an equation with an inequality symbol. e.g. 7X + 5 = 16 (equation while 5X + 7 > 9 (inequality).
\nThe following are commonly used in an inequality symbol.
\n\"\"\/\"\"\/V
\n\"\"\/SYMBOL\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0MEANING\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0REPRESENTATION
\n\"\"\/\"\"\/<\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0LESS THAN
\n\"\"\/\"\"\/\"\"\/> \u00a0\u00a0\u00a0\u00a0 GREATER THAN
\n\"\"\/\u2264\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0LESS THAN OR EQUAL TO
\n\"\"\/\"\"\/\u2265\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0GREATER THAN OR EQUAL TO<\/p>\n

\u00a0
\n\u00a0We often use inequality in our everyday life. We can write them as algebraic statement. For example, if the speed of a car is 250km\/h or less, we can write this as S \u2264 250, where s represent speed.<\/p>\n

\u00a0GRAPH OF INEQUALITIES<\/p>\n

\u00a0A linear inequality has no square or higher power of the unknown. In other words, the power of the unknown is 1.
\nExample 1: 2x > 15 is a linear inequality in one variable. (X).
\nSolution:
\n2X > 10 [divide both side by 2
\n2X\/2 > 10\/2
\nX = 5.
\n\"\"\/\"\"\/\"\"\/\"\"\/
\n\t\t 1 2 3 4 5 6 7 8
\nThe empty circle at the end of the arrow shows that 5 is not included in the range
\nCOMBINNING INEQUALITIES
\nWhen combining inequalities (sometimes an unknown quantity obeys more than one inequality). These inequalities may be combined as one statement, the smallest number must be written first followed by the unknown and finally the largest number and vice-versa. For example, the diagram below shows that X can take any value from -2 to 3<\/p>\n

\u00a0\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/<\/p>\n

\u00a0 -6 -5 -4 -3 -2 -1 0 1 2 3 4
\nHence the inequalities are X \u2265 -2 and X < 3
\nBut X \u2265 -2 in reverse is written as a \u2264 X and X < 3 can be combined as a single inequality as follows
\n-2 \u2264 X \u2264 3.<\/p>\n

\u00a0Example1: \"\"\/\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/<\/p>\n

\u00a0 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
\n X \u2265 -1, X \u2264 5
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -1 \u2264 x \u2264 5<\/p>\n

\u00a0Example 2:
\n\"\"\/\"\"\/\"\"\/\"\"\/\"\"\/
\n\t\t\"\"\/
\n\t\t\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 -5 -4 -3 -2 -1 0 1 2
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0X > -5, X \u2264 2
\n-5 < X \u2264 2
\nEVAULATION:<\/strong> PAGE 167 EXERCISE 14.1 NO 1 (I,J,K,L), NO 3 (J,K,L), NO 5( E,F,G,H).
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0PAGE 169 EXERCISE 14.2 NO 1(A,B,C,D)
\nASSIGNMENT:<\/strong> PAGE 169 EXERCISE 14.2 NO 2 ( A TO H) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"

WEEK 3 LINEAR INEQUALITIES Inequality is an algebraic expression formed by replacing the equal sign…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,111],"tags":[],"class_list":["post-1117","post","type-post","status-publish","format-standard","hentry","category-posts","category-second-term-jss-2-mathematics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1117","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=1117"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1117\/revisions"}],"predecessor-version":[{"id":1118,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/1117\/revisions\/1118"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=1117"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=1117"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=1117"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}