solving and graphing inequalities on the number line notes

# 10 7 8 9 6 5 4 3 2 1 0 1 2 3 4 3x8 20 x3 11 10 9 8 7

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Unformatted text preview: 0 x + 5 ≥ 4x - 16 Since the inequality is written "backwards", reverse the entire statement before sketching it on the number line. 7 ≥ x x ≤ 7 ­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10 solving and graphing inequalities on the number line September 07, 2012 ­4x ­ 3 ≥ 17 VERY IMPORTANT: remember that when you multiply or divide by a NEGATIVE NUMBER, you must REVERSE THE DIRECTION OF THE INEQUALITY SIGN. ­10 ­7 ­8 ­9 ­6 ­5 ­4 ­3 ­2 1 0 ­1 2 3 4 3X ­ 8 ≤ -20 ∨ x + 3 ≥ 11 ­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 1 0 2 ­9 ­8 ­7 ­6 ­5 ­4 ­3 6 8 7 10 9 Solve each piece separately; then graph them both on the same number line. 3 ­15 ≤ 2x ­ 3 ≤ 7 ­10 5 4 5 6 7 8 10 9 As you solve, be sure to do each st...
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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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