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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality (lg(x^2+1)+4x)(lg(4x-1)) <(1/7)(cosx+sin(2x-1)) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         ( lg ( x ^ 2 + 1 ) + 4 * x ) * ( lg ( 4 * x - 1 ) ) < ( 1 / 7 ) * ( cos x + sin ( 2 * x - 1 ) )         (1)
        From the definition field of lg
         x ^ 2 + 1 > 0        (2 )
        From the definition field of lg
         4 * x - 1 > 0        (3 )

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    From inequality(1)：
         x < 0.536411
    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 ＞ 1/4

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    From inequalities (1) and (2)
         x < 0.536411    (4)
    From inequalities (3) and (4)
         1/4 < x < 0.536411     (5)

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    The final solution set is :
         1/4 < x < 0.536411

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