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