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Assignment:Find the solution set of inequality (x^2-4x-5)/(3x^2-10x+8) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x ^ 2 - 4 * x - 5 ) / ( 3 * x ^ 2 - 10 * x + 8 ) ≥0 (1)
From the definition field of divisor
3 * x ^ 2 - 10 * x + 8 ≠ 0 (2 )
From inequality(1):
x ≤ -1 或 1.333333 ≤ x ≤ 2 或 x ≥ 5
From inequality(2):
x < 4/3 或 4/3 < x < 2 或 x > 2
From inequalities (1) and (2)
x ≤ -1 或 4/3 < x < 2 或 x ≥ 5 (3)
The final solution set is :
x ≤ -1 或 4/3 < x < 2 或 x ≥ 5Your problem has not been solved here? Please take a look at the hot problems !