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Assignment:Find the solution set of inequality 0 <1-1/x^2 <= 4 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 <1 - 1 / x ^ 2 (1)
1 - 1 / x ^ 2 <= 4 (2)
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
x < -1 或 x > 1
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
x < -1 或 x > 1 (4)
From inequalities (3) and (4)
x < -1 或 x > 1 (5)
The final solution set is :
x < -1 或 x > 1Your problem has not been solved here? Please take a look at the hot problems !