Official papers

Official 2017 Paper 1 · Q5

Paper 1Algebra

SS is the complete set of values of xx which satisfy both the inequalities

x2−8x+12<0 and 2x+1>9x^2-8x+12<0\text{ and }2x+1>9

The set SS can also be represented as a single inequality.

Which one of the following single inequalities represents the set SS?

A(x2−8x+12)(2x+1)<0(x^2-8x+12)(2x+1)<0
B(x2−8x+12)(2x+1)>0(x^2-8x+12)(2x+1)>0
Cx2−10x+24<0x^2-10x+24<0
Dx2−10x+24>0x^2-10x+24>0
Ex2−6x+8<0x^2-6x+8<0
Fx2−6x+8>0x^2-6x+8>0
Gx<2x<2
Hx>6x>6

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