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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 3a/(2a+1) <1/(2a+2)-2a .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
3 * a / ( 2 * a + 1 ) <1 / ( 2 * a + 2 ) - 2 * a (1)
From the definition field of divisor
2 * x + 1 ≠ 0 (2 )
From the definition field of divisor
2 * x + 2 ≠ 0 (3 )
From inequality(1):
a < -1.555419 或 -1 < a < -0.795592 或 -0.5 < a < 0.101012
From inequality(2):
a < -1/2 或 a > -1/2
From inequality(3):
a < -1 或 a > -1
From inequalities (1) and (2)
a < -1.555419 或 -1 < a < -0.795592 或 -0.5 < a < 0.101012 (4)
From inequalities (3) and (4)
a < -1.555419 或 -1 < a < -0.795592 或 -0.5 < a < 0.101012 (5)
The final solution set is :
a < -1.555419 或 -1 < a < -0.795592 或 -0.5 < a < 0.101012 Your problem has not been solved here? Please take a look at the hot problems !