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Assignment:Find the solution set of inequality (x^2-3*x-28)/(x^2+2*x-3) ≤0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x ^ 2 - 3 * x - 28 ) / ( x ^ 2 + 2 * x - 3 ) ≤0 (1)
From the definition field of divisor
x ^ 2 + 2 * x - 3 ≠ 0 (2 )
From inequality(1):
-4 ≤ x ≤ -3 或 1 ≤ x ≤ 7
From inequality(2):
x < -3 或 -3 < x < 1 或 x > 1
From inequalities (1) and (2)
-4 ≤ x < -3 或 1 < x ≤ 7 (3)
The final solution set is :
-4 ≤ x < -3 或 1 < x ≤ 7 Your problem has not been solved here? Please take a look at the hot problems !