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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 6+(1)/(1−x) ≤7/x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
6 + ( 1 ) / ( 1 - x ) ≤7 / x (1)
From the definition field of divisor
1 - x ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
0 ≤ x ≤ 0.725708 或 1 ≤ x ≤ 1.607625
From inequality(2):
x < 1 或 x > 1
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
0 ≤ x ≤ 0.725708 或 1 < x ≤ 1.607625 (4)
From inequalities (3) and (4)
0 < x ≤ 0.725708 或 1 < x ≤ 1.607625 (5)
The final solution set is :
0 < x ≤ 0.725708 或 1 < x ≤ 1.607625 Your problem has not been solved here? Please take a look at the hot problems !