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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/3 <(9xx-9x+2)/(9xx-1) <2/3 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
1 / 3 < ( 9 * x * x - 9 * x + 2 ) / ( 9 * x * x - 1 ) (1)
( 9 * x * x - 9 * x + 2 ) / ( 9 * x * x - 1 ) <2 / 3 (2)
From the definition field of divisor
9 * x * x - 1 ≠ 0 (3 )
From inequality(1):
x < -0.333333 或 x > 7/6
From inequality(2):
-0.333333 < x < 8/3
From inequality(3):
x < -1/3 或 -1/3 < x < 1/3 或 x > 1/3
From inequalities (1) and (2)
7/6 < x < 8/3 (4)
From inequalities (3) and (4)
7/6 < x < 8/3 (5)
The final solution set is :
7/6 < x < 8/3 Your problem has not been solved here? Please take a look at the hot problems !