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☆1 inequalities
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Assignment:Find the solution set of inequality 10 <(√x+1)/x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
10 < ( √ x + 1 ) / x (1)
From the definition field of √
x ≥ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
0 < x < 0.137016
From inequality(2):
x ≥ 0
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
0 < x < 0.137016 (4)
From inequalities (3) and (4)
0 < x < 0.137016 (5)
The final solution set is :
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