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Official 2021 Paper 2 · Q13

Paper 2Logic & proofAlgebra

A region RR in the (x,y)(x,y)-plane is defined by the simultaneous inequalities

y−x<3y−x2<1.\begin{aligned}y-x&<3\\y-x^2&<1.\end{aligned}

Which of the following statements is/are true for every point in RR?

  • I. −1<x<2-1<x<2
  • II. (y−x)(y−x2)<3(y-x)(y-x^2)<3
  • III. y<5y<5
Anone of them
BI only
CII only
DIII only
EI and II only
FI and III only
GII and III only
HI, II and III

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