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13 December, 10:14

Find the solution set for the following problem. 5 diminished by 3 times a number is at most 11.

A) x ≤ - 2

B) x

C) x

D) x

+1
Answers (1)
  1. 13 December, 10:37
    0
    B) x ≥ - 2

    Step-by-step explanation:

    We have to find a number that when subtracted 3 times from number 5 will get a result that is ≤ 11. We can make the following inequality out of what we know:

    5 - 3x ≤ 11

    We just have to isolate x:

    5 - 3x ≤ 11

    5 - 11 ≤ 3x

    -6 ≤ 3x

    -2 ≤ x

    x ≥ - 2

    And you can verify it ... by testing with

    -1 ⇒ 5 - (-3) ≤ 11, 8 ≤ 11 YES

    and - 3 ⇒ 5 - (-9) ≤ 11, 14 ≤ 11 NO
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