Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 2 questions will be solved this time.Among them
           ☆2 inequalities

[ 1/2Inequality]
    Assignment:Find the solution set of inequality (2*a^2-1)e^(-a^2) >= -1/10, .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 2 * a ^ 2 - 1 ) * e ^ ( -a ^ 2 ) >= -1 / 10 ,         (1)

    From inequality(1):
         a ≤ -0.650865 或  a ≥ 0.650865

    The final solution set is :

         a ≤ -0.650865 或  a ≥ 0.650865

[ 2/2Inequality]
    Assignment:Find the solution set of inequality (2*a^2-1)e^(-a^2) > <= 1/10 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
         ( 2 * a ^ 2 - 1 ) * e ^ ( -a ^ 2 ) >         (1)
         <= 1 / 10         (2)

    From inequality(1):
         a < -1/√2 或  a > 1/√2
    From inequality(2):
         a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         a < -1/√2 或  a > 1/√2    (3)

    The final solution set is :

         a < -1/√2 或  a > 1/√2




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