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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 0.25*ln(2*x+2*(1+4*x*x)^(-0.5)+(1+4*(x+(1+4*x*x)^(-0.5))^(2))^0.5)+0.5*(4*(x+(1+4*x*x)^(-0.5))^(2)+1)^0.5-1.5 <1.3*((50-x*x-1/(4*x*x+1))^(2)+x*x)^0.5 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
        0.25 * ln ( 2 * x + 2 * ( 1 + 4 * x * x ) ^ ( -0.5 ) + ( 1 + 4 * ( x + ( 1 + 4 * x * x ) ^ ( -0.5 ) ) ^ ( 2 ) ) ^ 0.5 ) + 0.5 * ( 4 * ( x + ( 1 + 4 * x * x ) ^ ( -0.5 ) ) ^ ( 2 ) + 1 ) ^ 0.5 - 1.5 <1.3 * ( ( 50 - x * x - 1 / ( 4 * x * x + 1 ) ) ^ ( 2 ) + x * x ) ^ 0.5         (1)
        From the definition field of ln
         2 * x + 2 * ( 1 + 4 * x * x ) ^ ( -0.5 ) + ( 1 + 4 * ( x + ( 1 + 4 * x * x ) ^ ( -0.5 ) ) ^ ( 2 ) ) ^ 0.5 > 0        (2 )
        From the definition field of divisor
         4 * x * x + 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 ＞ -2.683192
    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 ＞ -2.683192    (4)
    From inequalities (3) and (4)
         x ＞ -2.683192    (5)

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    The final solution set is :
         x ＞ -2.683192

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