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March 27, 2017

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Match ABCDE with the solution set below
A. {4/3, -4}
B. {x|x > 4 or x < -4/5}
C. No Solution
D. {x| -11 < x < -7}
E. All Real Numbers

Solution set
ABCDE|x + 9| < 2
ABCDE|5x - 8| > 12
ABCDE|3k + 4| = 8
ABCDE|x - 6| = -10
ABCDE|6x + 8| > -4

  • Algebra - ,

    It is easier to solve for the unknown and then look for the question.

    Working backwards:
    |x + 9| < 2
    Solution set: -7<x<-11
    check: |-7 + 9| =2
    |-11 + 9| = -2

    |5x - 8| > 12
    x>4 or x<-4/5

    |3k + 4| = 8
    k=4/3 or k=-4

    |x - 6| = -10
    no solution, ∀ y ∈ ℝ: |y| ≥ 0

    ABCDE|6x + 8| > -4
    x∈ℝ

    Can you take it from here?

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