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20 December, 09:10

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution

set of this problem?

(-09-21)

• (-00,-21]

[-21, + 00)

(21,400)

+4
Answers (1)
  1. 20 December, 09:36
    0
    Answer: (-∞, - 21)

    Step-by-step explanation:

    Let the number be x, so from the question, we have

    5 (x+27) ≥ 6 (x + 26)

    expanding, we have

    5x + 135 ≥ 6x + 156

    5x - 6x ≥ 156 - 135

    - x ≥ 21

    Therefore:

    x ≤ - 21

    So, the numbers less or equal to - 21 are - 21,-22, - 23 ...

    so the solution set is ( - ∞, 21)
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