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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (2x^2-x-6)/(3+x)*(3x-2) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 * x ^ 2 - x - 6 ) / ( 3 + x ) * ( 3 * x - 2 ) >= 0 (1)
From the definition field of divisor
3 + x ≠ 0 (2 )
From inequality(1):
x ≤ -3 或 -3/2 ≤ x ≤ 2/3 或 x ≥ 2
From inequality(2):
x < -3 或 x > -3
From inequalities (1) and (2)
x < -3 或 -3/2 ≤ x ≤ 2/3 或 x ≥ 2 (3)
The final solution set is :
x < -3 或 -3/2 ≤ x ≤ 2/3 或 x ≥ 2Your problem has not been solved here? Please take a look at the hot problems !