algebra

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2x+1/x+1 (is less than or equal to) 2
what is the solution of the inequality?

  • algebra -

    If (2x+1)/(x+1) = 2, then
    2x +1 = 2x +2
    which can never happen.

    If x>-1, 2x +1 <= 2x + 2
    which is always true

    If x<-1 2x +1 >= 2x =2
    which is never true.

    Therefore x > -1 is the answer.
    x = -1 is not allowed

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