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☆1 inequalities
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Assignment:Find the solution set of inequality (4x^2-x-3)/(2x^2-x-3) <= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 4 * x ^ 2 - x - 3 ) / ( 2 * x ^ 2 - x - 3 ) <= 1 (1)
From the definition field of divisor
2 * x ^ 2 - x - 3 ≠ 0 (2 )
From inequality(1):
-1 ≤ x ≤ 0 或 0 ≤ x ≤ 0 或 0 ≤ x ≤ 1.5
From inequality(2):
x < -1 或 -1 < x < 3/2 或 x > 3/2
From inequalities (1) and (2)
-1 < x ≤ 0 或 0 ≤ x ≤ 0 或 0 ≤ x < 3/2 (3)
The final solution set is :
-1 < x ≤ 0 或 0 ≤ x ≤ 0 或 0 ≤ x < 3/2Your problem has not been solved here? Please take a look at the hot problems !