solving and graphing inequalities on the number line notes

Nowwhereonthenumberlineareallof thesenumbers between

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Unformatted text preview: 9 ­7 ­4 ­5 ­6 ­3 ­2 0 ­1 1 2 3 4 5 6 8 7 In interval notation, we write this is 10 9 (­∞,­2] ∨ (3,∞) Graph the compound inequality ­6 < x ≤ 5 In this case, after circling the endpoints, we note that all other values of x must satisfy BOTH conditions: they must be both GREATER THAN ­6 and LESS THAN 5. Now, where on the number line, are all of these numbers? Between ­6 and 5. ­10 ­9 ­8 ­7 ­5 ­6 ­4 ­3 ­2 0 ­1 1 2 3 4 5 6 7 8 To show this, we simply CONNECT THE DOTS. There are NO ARROWS. 10 9 In interval notation, we write this is (­6,5] Solving Linear Inequalities Solve the following inequality and graph the solution set on the number line. 2x ­7 ≥ 9 Solve exactly the same as you would if it were an equation. ­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 1...
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This note was uploaded on 07/20/2013 for the course MATH Algebra 2 taught by Professor Mrs.cella during the Fall '12 term at Southampton High School.

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