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