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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 (3x-1)e^x <(4/(3e))(x-2) ) ) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 3 * x - 1 ) * e ^ x < ( 4 / ( 3 * e ( x - 2 ) ) ) (1)
From the definition field of divisor
3 * e ( x - 2 ) ≠ 0 (2 )
From inequality(1):
x < 0.888646
From inequality(2):
x < -749.118642 或 -749.118642 < x < -748.559506 或 -748.559506 < x < -74800037/100000 或 -74800037/100000 < x < -747.441235 或 -747.441235 < x < -746.882099 或 -746.882099 < x < -746.322963 或 -746.322963 < x < -745.763827 或 -745.763827 < x < -745.204691 或 -745.204691 < x < -744.645556 或 -744.645556 < x < -37204321/50000 或 x > -37204321/50000
From inequalities (1) and (2)
x < -749.118642 或 -749.118642 < x < -748.559506 或 -748.559506 < x < -74800037/100000 或 -74800037/100000 < x < -747.441235 或 -747.441235 < x < -746.882099 或 -746.882099 < x < -746.322963 或 -746.322963 < x < -745.763827 或 -745.763827 < x < -745.204691 或 -745.204691 < x < -744.645556 或 -744.645556 < x < -37204321/50000 或 -37204321/50000 < x < 0.888646 (3)
The final solution set is :
x < -749.118642 或 -749.118642 < x < -748.559506 或 -748.559506 < x < -74800037/100000 或 -74800037/100000 < x < -747.441235 或 -747.441235 < x < -746.882099 或 -746.882099 < x < -746.322963 或 -746.322963 < x < -745.763827 或 -745.763827 < x < -745.204691 或 -745.204691 < x < -744.645556 或 -744.645556 < x < -37204321/50000 或 -37204321/50000 < x < 0.888646 Your problem has not been solved here? Please take a look at the hot problems !