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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 <1+x <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 <1 + x (1)
1 + x <1 (2)
From inequality(1):
x > -2
From inequality(2):
x < 0
From inequalities (1) and (2)
-2 < x < 0 (3)
The final solution set is :
-2 < x < 0 [ 2/3Inequality]
Assignment:Find the solution set of inequality -1 <1-x^2 <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 <1 - x ^ 2 (1)
1 - x ^ 2 <1 (2)
From inequality(1):
-√2 < x < √2
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
-√2 < x < 0 或 0 < x < √2 (3)
The final solution set is :
-√2 < x < 0 或 0 < x < √2 [ 3/3Inequality]
Assignment:Find the solution set of inequality 1+x
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 + x < x ^ 2 - 1 (1)
From inequality(1):
x < -1 或 x > 2
The final solution set is :
x < -1 或 x > 2Your problem has not been solved here? Please take a look at the hot problems !