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☆1 inequalities
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Assignment:Find the solution set of inequality (x+7)/(x^(2)-2x+3) ≤1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x + 7 ) / ( x ^ ( 2 ) - 2 * x + 3 ) ≤1 (1)
From the definition field of divisor
x ^ ( 2 ) - 2 * x + 3 ≠ 0 (2 )
From inequality(1):
x ≤ -1 或 x ≥ 4
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)
x ≤ -1 或 x ≥ 4 (3)
The final solution set is :
x ≤ -1 或 x ≥ 4Your problem has not been solved here? Please take a look at the hot problems !