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