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8 February, 01:29

Solve the inequality. |2k + 1| ≥ 5

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  1. 8 February, 03:30
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    If you remove the absolute value of |2k+1| ≥ 5, you will get:

    a) 2k+1 ≥ 5 and b) 2k+1≤ - 5. (for the negative, you flip the inequality sign)

    Hence

    a) 2k+1 ≥ 52 → k≥5-1 and k≥ 2 And

    b) 2k+1 ≤ - 5 → k≤ - 5 - 1 and k ≤ - 3

    Then - 3 ≥ k ≥ 2
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