current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1-1/x <= -2 <= 1+1/x .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
1 - 1 / x <= -2 (1)
From the definition field of divisor
x ≠ 0 (2 )
-2 <= 1 + 1 / x (3)
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
0 ≤ x ≤ 1/3
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x ≤ -1/3 或 x ≥ 0
From inequality(4):
x < 0 或 x > 0
From inequalities (1) and (2)
0 < x ≤ 1/3 (5)
From inequalities (3) and (5)
0 < x ≤ 1/3 (6)
From inequalities (4) and (6)
0 < x ≤ 1/3 (7)
The final solution set is :
0 < x ≤ 1/3 Your problem has not been solved here? Please take a look at the hot problems !