Section 2.8 – Absolute Value Equations and Inequalities Recall ...

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Example 8: Solve 20 + 2x + 4 = 15 4
Solving Absolute Value Inequalities If C is positive, then: a) x < C is equivalent to − C < x < C . b) x ≤ C is equivalent to − C ≤ x ≤ C . c) x > C is equivalent to x < −C or x > C . d) x ≥ C is equivalent to x ≤ −C or x ≥ C . Special Cases: If C is negative, then If C = 0, then a) The inequalities of the form x < C or x ≤ C have no solution. b) The solution of the inequalities x > C or x ≥ C is all real numbers. a) The inequalities of the form x < 0 has no solution. b) The solution of the inequality x = 0 is x = 0. c) The solution of the inequality x > 0 is all real numbers except 0. d) The solution of the inequality x ≥ 0 is all real numbers. 5
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Page 3: Example 6: Solve 2 2x + 1 + 5 = 21.
Page 8 and 9: Example 10: Solve the inequality an
Page 10: Example 13: Solve the inequality an
Page 14: Example 16: Solve 7 + 2 + 3x ≤ 4

Section 2.8 – Absolute Value Equations and Inequalities Recall ...

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