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Published byAlban Richard Modified over 6 years ago

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Solving Compound inequalities with OR

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Equation 2k-5>7 OR -3k-1>8

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Step one Add 5 to each number Without a variable on the left side… 2k – 5 > 7 OR -3k – 1 > 8 2k – 5 > 7 OR -3k – 1 > 8 +5 +5 = +5 +5 = 2k > 12 2k > 12 You should get: 2k > 12

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Step two Now add one to each number Without a variable on the right side…… 2k > 12 OR – 3 k – 1 > 8 2k > 12 OR – 3 k – 1 > 8 +1 +1 = +1 +1 = - 3k > 9 - 3k > 9 You should get: - 3k > 9

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Step 3 Divide by the number being multiplied to the variable….. 2k > 12 OR -3k > 9 2k > 12 OR -3k > 9 2 2 = -3 -3 = 2 2 = -3 -3 = k > 6 OR k 6 OR k < -3 When you divide by a negative number the inequality sign FLIPS

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Graphing the solution. After you solve the equations using the previous steps you should graph your equation…. k > 6 OR k 6 OR k < -3 Use the two numbers in the solution for the highest and lowest points. -3 0 3 6 -3 0 3 6

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