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Question

Solve the system of inequality:
2(3x1)<3(4x+1)+16,4(2+x)<3x+8

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Solution

(1)2(3x1)<3(4x+1)+16
6x2<12x+3+16
6x>516
x>216
xε(216,)
(2)4(2+x)<3x+8
8+4x<3x+8
x<0
xε(,0)
xε(216,0)

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