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Assignment:Find the solution set of inequality x-9 ≤5/x <7 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
x - 9 ≤5 / x (1)
5 / x <7 (2)
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
x ≤ -0.524938 或 0 ≤ x ≤ 9.524938
From inequality(2):
x < 0 或 x > 5/7
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
x ≤ -0.524938 或 5/7 < x ≤ 9.524938 (4)
From inequalities (3) and (4)
x ≤ -0.524938 或 5/7 < x ≤ 9.524938 (5)
The final solution set is :
x ≤ -0.524938 或 5/7 < x ≤ 9.524938 Your problem has not been solved here? Please take a look at the hot problems !