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