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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):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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