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☆1 inequalities
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Assignment:Find the solution set of inequality (3-x)/(5+x) <0.8x/(1-0.5x) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 3 - x ) / ( 5 + x ) <0.8 * x / ( 1 - 0.5 * x ) (1)
From the definition field of divisor
5 + x ≠ 0 (2 )
From the definition field of divisor
1 - 0.5 * x ≠ 0 (3 )
From inequality(1):
-22.118771 < x < -5 或 0.452105 < x < 2
From inequality(2):
x < -5 或 x > -5
From inequality(3):
x < 2 或 x > 2
From inequalities (1) and (2)
-22.118771 < x < -5 或 0.452105 < x < 2 (4)
From inequalities (3) and (4)
-22.118771 < x < -5 或 0.452105 < x < 2 (5)
The final solution set is :
-22.118771 < x < -5 或 0.452105 < x < 2 Your problem has not been solved here? Please take a look at the hot problems !