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