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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/(1-x)+1/(1-1.2x)+1/(1-1.5x) >39 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / ( 1 - x ) + 1 / ( 1 - 1.2 * x ) + 1 / ( 1 - 1.5 * x ) >39 (1)
From the definition field of divisor
1 - x ≠ 0 (2 )
From the definition field of divisor
1 - 1.2 * x ≠ 0 (3 )
From the definition field of divisor
1 - 1.5 * x ≠ 0 (4 )
From inequality(1):
0.645661 < x < 0.666667
From inequality(2):
x < 1 或 x > 1
From inequality(3):
x < 5/6 或 x > 5/6
From inequality(4):
x < 2/3 或 x > 2/3
From inequalities (1) and (2)
0.645661 < x < 0.666667 (5)
From inequalities (3) and (5)
0.645661 < x < 0.666667 (6)
From inequalities (4) and (6)
0.645661 < x < 2/3 (7)
The final solution set is :
0.645661 < x < 2/3 Your problem has not been solved here? Please take a look at the hot problems !