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