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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 x-1/x-2 <= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x - 1 / x - 2 <= 0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From inequality(1):
x ≤ -0.414214 或 0 ≤ x ≤ 2.414214
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
x ≤ -0.414214 或 0 < x ≤ 2.414214 (3)
The final solution set is :
x ≤ -0.414214 或 0 < x ≤ 2.414214 [ 2/2Inequality]
Assignment:Find the solution set of inequality x-1/x >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x - 1 / x >= 0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From inequality(1):
-1 ≤ x ≤ 0 或 x ≥ 1
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
-1 ≤ x < 0 或 x ≥ 1 (3)
The final solution set is :
-1 ≤ x < 0 或 x ≥ 1Your problem has not been solved here? Please take a look at the hot problems !