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27 June, 16:17

Which number is a solution of the inequality?

х (7 - x) >8

2

8

о

-1

+4
Answers (1)
  1. 27 June, 16:42
    0
    Step-by-step explanation:

    7x-x^2>8

    or x²-7x<-8

    adding both sides (-7/2) ² or 35/4

    for x²-7x+35/4<-8+35/4

    (x-7/2) ²< (-32+35) / 4

    or (x-7/2) ²<3/4

    |x-7/2|< (√3) / 2

    - (√3) / 2
    7/2 - (√3) / 2
    (7-√3) / 2
    (7-1.732) / 2
    2.634
    so x=2 is a solution.
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