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Assignment:Find the solution set of inequality -1 <= (3k+13)/(3k+2) <= 2 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
-1 <= ( 3 * k + 13 ) / ( 3 * k + 2 ) (1)
( 3 * k + 13 ) / ( 3 * k + 2 ) <= 2 (2)
From the definition field of divisor
3 * x + 2 ≠ 0 (3 )
From inequality(1):
k ≤ -5/2 或 k ≥ -0.666667
From inequality(2):
k ≤ -0.666667 或 k ≥ 3
From inequality(3):
k < -2/3 或 k > -2/3
From inequalities (1) and (2)
k ≤ -5/2 或 -0.666667 ≤ k ≤ -0.666667 或 k ≥ 3 (4)
From inequalities (3) and (4)
k ≤ -5/2 或 k ≥ 3 (5)
The final solution set is :
k ≤ -5/2 或 k ≥ 3Your problem has not been solved here? Please take a look at the hot problems !