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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 20-16k^2 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
20 - 16 * k ^ 2 >0 (1)
From inequality(1):
-√5/2 < k < √5/2
The final solution set is :
-√5/2 < k < √5/2 [ 2/3Inequality]
Assignment:Find the solution set of inequality (-5)/(1-k^2) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -5 ) / ( 1 - k ^ 2 ) >0 (1)
From the definition field of divisor
1 - x ^ 2 ≠ 0 (2 )
From inequality(1):
k < -1 或 k > 1
From inequality(2):
k < -1 或 -1 < k < 1 或 k > 1
From inequalities (1) and (2)
k < -1 或 k > 1 (3)
The final solution set is :
k < -1 或 k > 1[ 3/3Inequality]
Assignment:Find the solution set of inequality (-2k)/(1-k^2) <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -2 * k ) / ( 1 - k ^ 2 ) <0 (1)
From the definition field of divisor
1 - x ^ 2 ≠ 0 (2 )
From inequality(1):
k < -1 或 0 < k < 1
From inequality(2):
k < -1 或 -1 < k < 1 或 k > 1
From inequalities (1) and (2)
k < -1 或 0 < k < 1 (3)
The final solution set is :
k < -1 或 0 < k < 1 Your problem has not been solved here? Please take a look at the hot problems !