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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-x/x-1 <= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 - x / x - 1 <= 0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
x < 0 或 x > 0 (3)
The final solution set is :
x < 0 或 x > 0[ 2/2Inequality]
Assignment:Find the solution set of inequality x/x-1 >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x / x - 1 >= 0 (1)
From the definition field of divisor
x ≠ 0 (2 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
x < 0 或 x > 0 (3)
The final solution set is :
x < 0 或 x > 0Your problem has not been solved here? Please take a look at the hot problems !