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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (2x+3)/(x^2+4x−21) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 * x + 3 ) / ( x ^ 2 + 4 * x - 21 ) ≥0 (1)
From the definition field of divisor
x ^ 2 + 4 * x - 21 ≠ 0 (2 )
From inequality(1):
-7 ≤ x ≤ -3/2 或 x ≥ 3
From inequality(2):
x < -7 或 -7 < x < 3 或 x > 3
From inequalities (1) and (2)
-7 < x ≤ -3/2 或 x > 3 (3)
The final solution set is :
-7 < x ≤ -3/2 或 x > 3Your problem has not been solved here? Please take a look at the hot problems !