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Assignment:Find the solution set of inequality 1/(x-1)+2/(x-2) >= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / ( x - 1 ) + 2 / ( x - 2 ) >= 1 (1)
From the definition field of divisor
x - 1 ≠ 0 (2 )
From the definition field of divisor
x - 2 ≠ 0 (3 )
From inequality(1):
1 ≤ x ≤ 1.267949 或 2 ≤ x ≤ 4.732051
From inequality(2):
x < 1 或 x > 1
From inequality(3):
x < 2 或 x > 2
From inequalities (1) and (2)
1 < x ≤ 1.267949 或 2 ≤ x ≤ 4.732051 (4)
From inequalities (3) and (4)
1 < x ≤ 1.267949 或 2 < x ≤ 4.732051 (5)
The final solution set is :
1 < x ≤ 1.267949 或 2 < x ≤ 4.732051 Your problem has not been solved here? Please take a look at the hot problems !