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[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/(√x+√(-x)) <100000 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / ( √ x + √ ( -x ) ) <100000 (1)
From the definition field of √
x ≥ 0 (2 )
From the definition field of √
-x ≥ 0 (3 )
From the definition field of divisor
√ x + √ ( -x ) ≠ 0 (4 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
x ≥ 0
From inequality(3):
x ≤ 0
From inequality(4):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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