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Published byShana Cole Modified over 6 years ago
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Objective: To solve and graph compound inequalities involving “or”.
Ch 2.3 Compound “or” Objective: To solve and graph compound inequalities involving “or”.
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Generally, the inequality symbols will face opposite directions
Definition Compound Inequality: Two inequalities connected by the word AND or OR Both inequalities share a graph/number line Rules Solve each equation separately using rules for inequalities Graph each solution separately on the same number line Generally, the inequality symbols will face opposite directions
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x < -2 x > 5 x < 5 x > 3 Example 1 Example 2 or Graph
x = Any Real Number
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x 5 x 5 ≥ ≥ < < x 10 x 10 Example 3 or Solve and graph. − <
− < or − ≥ < ≥ x 5 x 5 ≥ ≥ < < x x 10
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x -7 x -7 ≤ ≤ x 12 x 12 ≥ ≥ Example 4 or Solve and graph. − ≥ − ≤ −
− ≥ or − ≤ − − − − − x -7 x -7 ≤ ≤ − ≤ − − − x 12 x 12 ≥ ≥ 12
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n + 5 ≤ -5 or n + 10 > 1 10k > 70 or 2k ≤ -6 Classwork
2) Solve and graph. 1) Solve and graph. n + 5 ≤ -5 or n + 10 > 1 10k > 70 or 2k ≤ -6
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Classwork 4) Solve and graph. 3) Solve and graph. or x + 4 > 7 or
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Classwork 6) Solve and graph. 5) Solve and graph. -2p + 10 < -10 or 2 – 7p > -61 5 – 7x < -65 or 7x - 9 < -37
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