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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (100/(100+0.65X))-1.15*(100/(100+0.75X) ) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 100 / ( 100 + 0.65 * X ) ) - 1.15 * ( 100 / ( 100 + 0.75 * X ) ) >0 (1)
From the definition field of divisor
100 + 0.65 * x ≠ 0 (2 )
From the definition field of divisor
100 + 0.75 * x ≠ 0 (3 )
From inequality(1):
-153.846154 < X < -133.333333
From inequality(2):
X < -153.846154 或 X > -153.846154
From inequality(3):
X < -400/3 或 X > -400/3
From inequalities (1) and (2)
-153.846154 < X < -133.333333 (4)
From inequalities (3) and (4)
-153.846154 < X < -400/3 (5)
The final solution set is :
-153.846154 < X < -400/3 Your problem has not been solved here? Please take a look at the hot problems !