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[ 1/1Inequality]
Assignment:Find the solution set of inequality -1 <1-[√(2a)]/a <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 <1 - ( √ ( 2 * a ) ) / a (1)
1 - ( √ ( 2 * a ) ) / a <0 (2)
From the definition field of √
2 * x ≥ 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
a > 1/2
From inequality(2):
a < 2
From inequality(3):
a ≥ 0
From inequality(4):
a < 0 或 a > 0
From inequalities (1) and (2)
1/2 < a < 2 (5)
From inequalities (3) and (5)
1/2 < a < 2 (6)
From inequalities (4) and (6)
1/2 < a < 2 (7)
The final solution set is :
1/2 < a < 2 Your problem has not been solved here? Please take a look at the hot problems !