Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality -2 <(x-√(8x-5))/(x+1) <4 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities：
        -2 < ( x - √ ( 8 * x - 5 ) ) / ( x + 1 )         (1)
         ( x - √ ( 8 * x - 5 ) ) / ( x + 1 ) <4         (2)
        From the definition field of √
         8 * x - 5 ≥ 0        (3 )
        From the definition field of divisor
         x + 1 ≠ 0        (4 )

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    From inequality(1)：
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2)：
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3)：
         x ≥ 5/8
    From inequality(4)：
         x < -1 或  x ＞ -1

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    From inequalities (1) and (2)
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!    (5)
    From inequalities (3) and (5)
         x ≥ 5/8    (6)
    From inequalities (4) and (6)
         x ≥ 5/8    (7)

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    The final solution set is :
         x ≥ 5/8

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