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☆1 inequalities
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Assignment:Find the solution set of inequality (x^2-x-14)/(x^2-3x-4) ≤2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x ^ 2 - x - 14 ) / ( x ^ 2 - 3 * x - 4 ) ≤2 (1)
From the definition field of divisor
x ^ 2 - 3 * x - 4 ≠ 0 (2 )
From inequality(1):
x ≤ -1 或 2 ≤ x ≤ 3 或 x ≥ 4
From inequality(2):
x < -1 或 -1 < x < 4 或 x > 4
From inequalities (1) and (2)
x < -1 或 2 ≤ x ≤ 3 或 x > 4 (3)
The final solution set is :
x < -1 或 2 ≤ x ≤ 3 或 x > 4Your problem has not been solved here? Please take a look at the hot problems !