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           ☆1 inequalities

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

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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 ∈ R （R为全体实数），即在实数范围内，不等式恒成立！

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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!    (4)
    From inequalities (3) and (4)
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!    (5)

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    The final solution set is :
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

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