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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (2x^2+4)/(x^3+3x^2+x+1) <= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 * x ^ 2 + 4 ) / ( x ^ 3 + 3 * x ^ 2 + x + 1 ) <= 1 (1)
From the definition field of divisor
x ^ 3 + 3 * x ^ 2 + x + 1 ≠ 0 (2 )
From inequality(1):
x ≤ -2.769292 或 x ≥ 1
From inequality(2):
x < -2.769292 或 x > -2.769292
From inequalities (1) and (2)
x < -2.769292 或 x ≥ 1 (3)
The final solution set is :
x < -2.769292 或 x ≥ 1Your problem has not been solved here? Please take a look at the hot problems !