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History of Inequality Computation > Answer
Overview: 3 questions will be solved this time.Among them
☆3 inequalities
[ 1/3Inequality]
Assignment:Find the solution set of inequality -1
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 < a ^ 2 + 2 * a - 3 (1)
a ^ 2 + 2 * a - 3 <0 (2)
From inequality(1):
a < -2.732051 或 a > 0.732051
From inequality(2):
-3 < a < 1
From inequalities (1) and (2)
-3 < a < -2.732051 或 0.732051 < a < 1 (3)
The final solution set is :
-3 < a < -2.732051 或 0.732051 < a < 1 [ 2/3Inequality]
Assignment:Find the solution set of inequality -3
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-3 < a ^ 2 - 2 * a - 3 (1)
a ^ 2 - 2 * a - 3 < -2 (2)
From inequality(1):
a < 0 或 a > 2
From inequality(2):
-0.414214 < a < 2.414214
From inequalities (1) and (2)
-0.414214 < a < 0 或 2 < a < 2.414214 (3)
The final solution set is :
-0.414214 < a < 0 或 2 < a < 2.414214 [ 3/3Inequality]
Assignment:Find the solution set of inequality a >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
a >0 (1)
From inequality(1):
a > 0
The final solution set is :
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