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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality x^2-x-2 >0x^2-2x-8 <0x^2-3x >0(x+13)^2-28(x^2-x-2) >0x >-13x <15 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 6 inequalities：
         x ^ 2 - x - 2 >0 * x ^ 2 - 2 * x - 8         (1)
        0 * x ^ 2 - 2 * x - 8 <0 * x ^ 2 - 3 * x         (2)
        0 * x ^ 2 - 3 * x >0 * ( x + 13 ) ^ 2 - 28 * ( x ^ 2 - x - 2 )         (3)
        0 * ( x + 13 ) ^ 2 - 28 * ( x ^ 2 - x - 2 ) >0 * x         (4)
        0 * x > -13 * x         (5)
         -13 * x <15         (6)

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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 < 8
    From inequality(3)：
         x < -0.965126 或  x ＞ 2.072269
    From inequality(4)：
         -1 < x < 2
    From inequality(5)：
         x ＞ 0
    From inequality(6)：
         x ＞ -1.153846

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    From inequalities (1) and (2)
         x < 8    (7)
    From inequalities (3) and (7)
         x < -0.965126 或  2.072269 < x < 8     (8)
    From inequalities (4) and (8)
         -1 < x < -0.965126     (9)
    From inequalities (5) and (9)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (10)
    From inequalities (6) and (10)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (11)

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    The final solution set is :
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!

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