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Clavis TMUA Set C Paper 1 · Q16

Paper 1Algebra

Find the complete set of values of xx for which

(x+3)(x−1)(2−x)>0and(x+1)(x−4)<0.(x+3)(x-1)(2-x)>0\quad\text{and}\quad(x+1)(x-4)<0.
A−3<x<1-3<x<1
B1<x<21<x<2
C−1<x<2-1<x<2
Dx<−3x<-3 or 1<x<21<x<2
E−1<x<4-1<x<4
F2<x<42<x<4

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