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Assignment:Find the solution set of inequality 4x-5(2x+3) >5x-1(x-3) <3x-2(x-4) >2x-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 3 inequalities:
4 * x - 5 * ( 2 * x + 3 ) >5 * x - 1 * ( x - 3 ) (1)
5 * x - 1 * ( x - 3 ) <3 * x - 2 * ( x - 4 ) (2)
3 * x - 2 * ( x - 4 ) >2 * x - 1 (3)
From inequality(1):
x < -9/5
From inequality(2):
x < 5/3
From inequality(3):
x < 9
From inequalities (1) and (2)
x < -9/5 (4)
From inequalities (3) and (4)
x < -9/5 (5)
The final solution set is :
x < -9/5Your problem has not been solved here? Please take a look at the hot problems !