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☆1 inequalities
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Assignment:Find the solution set of inequality 0.833753 <(4.93+x)/(2.33+x) <1.199396 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0.833753 < ( 4.93 + x ) / ( 2.33 + x ) (1)
( 4.93 + x ) / ( 2.33 + x ) <1.199396 (2)
From the definition field of divisor
2.33 + x ≠ 0 (3 )
From inequality(1):
x < -√40362327/√125000 或 x > -2.33
From inequality(2):
x < -2.33 或 x > √114690797/1000
From inequality(3):
x < -233/100 或 x > -233/100
From inequalities (1) and (2)
x < -√40362327/√125000 或 x > √114690797/1000 (4)
From inequalities (3) and (4)
x < -√40362327/√125000 或 x > √114690797/1000 (5)
The final solution set is :
x < -√40362327/√125000 或 x > √114690797/1000Your problem has not been solved here? Please take a look at the hot problems !