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solving and graphing inequalities on the number line notes

# solving and graphing inequalities on the number line notes...

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solving and graphing inequalities on the number line September 07, 2012 NO To the right of the 4. YES Graphing Inequalities on the Number Line Graph the inequality x 4 Is the number 4 included in the solution set? To show this, we place a SOLID CIRCLE on the number 4 on the number line. 1 0 2 3 4 5 6 7 8 9 10 ­1 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 1 0 2 3 4 5 6 7 8 9 10 ­1 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 Now, where on the number line, are all of the numbers which are GREATER THAN 4? To show this, we place an arrow pointing to the right from the 4. Graph the inequality x >- 1 Is the number ­1 included in the solution set? To show this, we place an OPEN CIRCLE on the number ­1 on the number line. 1 0 2 3 4 5 6 7 8 9 10 ­1 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 1 0 2 3 4 5 6 7 8 9 10 ­1 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 The arrow still points to the right. In interval notation, we write this as [4, ) In interval notation, we write this as (­1, ) Graph the inequality x ≤ 2 Is the number 2 included in the solution set?

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