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Compound Linear Inequalities: Solving Algebraically

2 x > - 8 and 2 x  5. Compound Linear Inequalities: Solving Algebraically . Example: Algebraically solve, - 5 < 2 x + 3  8. First break the compound inequality into two simple inequalities by writing it as: 2 x + 3 > - 5 and 2 x + 3  8.

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Compound Linear Inequalities: Solving Algebraically

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  1. 2x > - 8 and 2x  5 Compound Linear Inequalities: Solving Algebraically Example: Algebraically solve, - 5 < 2x + 3  8. First break the compound inequality into two simple inequalities by writing it as: 2x + 3 > - 5 and 2x + 3  8 The "and" means that only those numbers that satisfy both of the inequalities will be solutions of the original compound inequality. Next solve each simple inequality. x > - 4 and x  5/2

  2. Try: Algebraically solve, Write the solution set in interval notation. Compound Linear Inequalities: Solving Algebraically x > - 4 and x  5/2 Numbers that satisfy both inequalities above are between -4 and 5/2 (including 5/2). The solution set can be written as a compound inequality, - 4 < x 5/2 or in interval notation as ( - 4, 5/2 ]. The solution set is [ - 7/4, 1/4]. Slide 2

  3. Compound Linear Inequalities: Solving Algebraically END OF PRESENTATION Click to rerun the slideshow.

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