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Section 1-6 Solving Inequalities
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a < b a = b a > b b < > a =
For any real numbers a and b, exactly one of the following is true a < b a = b a > b b < > a =
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Addition and Subtraction Properties of Inequality
Let a, b and c represent any real numbers. Addition Property of Inequality If a < b, then a + c < b + c If a > b, then a + c > b + c Adding or subtracting a number to an inequality doesn’t change the order of the inequality Subtraction Property of Inequality If a < b, then a - c < b - c If a > b, then a - c > b - c
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1.) Solve: 3a - 15 > 6 Then graph the solution set.
Open circle if < or > Closed circle if ≥ or ≤
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2.) Solve: 7(7x - 9) ≤ 84 Then graph the solution set.
Open circle if < or > Closed circle if ≥ or ≤
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Multiplication and Division
Multiplying (or dividing) an inequality by a negative number reverses the order of the inequality > < Multiplication and Division Let a, b and c represent any real numbers where: c > 0 (positive) and d < 0 (negative) Multiplication Property of Inequality If a < b then a • c < b • c but if negative a • d > b • d If a > b then a • c > b • c but if negative a • d < b • d
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3.) Solve for x: -3x - 4 ≥ 12
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4.) Solve
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5.) The product of 8 and a number is less than 42.
What is the number?
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Homework Page 47 Problems: #4-9, 14-21, 27, 29, 35, 36, 41, and 43
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