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[ 1/1Inequality]
Assignment:Find the solution set of inequality [(3xx+2x+1)/(xx+x+2)] ≤1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( 3 * x * x + 2 * x + 1 ) / ( x * x + x + 2 ) ) ≤1 (1)
From the definition field of divisor
x * x + x + 2 ≠ 0 (2 )
From inequality(1):
-1 ≤ x ≤ 1/2
From inequality(2):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequalities (1) and (2)
-1 ≤ x ≤ 1/2 (3)
The final solution set is :
-1 ≤ x ≤ 1/2Your problem has not been solved here? Please take a look at the hot problems !