Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 4 questions will be solved this time.Among them
           ☆4 inequalities

[ 1/4Inequality]
    Assignment:Find the solution set of inequality e^(-a^2) >= 1/4, .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         e ^ ( -a ^ 2 ) >= 1 / 4 ,         (1)

    From inequality(1):
         -1.17741 ≤ a ≤ 1.17741

    The final solution set is :

         -1.17741 ≤ a ≤ 1.17741

[ 2/4Inequality]
    Assignment:Find the solution set of inequality e^(-a^2) <= 3/4, .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         e ^ ( -a ^ 2 ) <= 3 / 4 ,         (1)

    From inequality(1):
         a ≤ -0.53636 或  a ≥ 0.53636

    The final solution set is :

         a ≤ -0.53636 或  a ≥ 0.53636

[ 3/4Inequality]
    Assignment:Find the solution set of inequality (2*a^2-1)e^(-a^2) >= -1/4, .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 2 * a ^ 2 - 1 ) * e ^ ( -a ^ 2 ) >= -1 / 4 ,         (1)

    From inequality(1):
         a ≤ -0.571578 或  a ≥ 0.571578

    The final solution set is :

         a ≤ -0.571578 或  a ≥ 0.571578

[ 4/4Inequality]
    Assignment:Find the solution set of inequality (2*a^2-1)e^(-a^2) <= 1/4 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 2 * a ^ 2 - 1 ) * e ^ ( -a ^ 2 ) <= 1 / 4         (1)

    From inequality(1):
         a ≤ -1.729994 或  -0.877474 ≤ a ≤ 0.877474 或  a ≥ 1.729994

    The final solution set is :

         a ≤ -1.729994 或  -0.877474 ≤ a ≤ 0.877474 或  a ≥ 1.729994




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