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