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Beyond Horizon Set 1 Paper 1 · Q3

Paper 1Functions & graphsAlgebra

Two functions are defined as:

f(x)=∣x2−4∣,x∈Rg(x)=x+2,x∈R\begin{aligned} f(x)&=\lvert x^2-4\rvert, &&x\in\mathbb{R}\\ g(x)&=x+2, &&x\in\mathbb{R} \end{aligned}

Which range of values satisfy the inequality f(x)<g(x)f(x)<g(x)?

A−2<x<3-2<x<3
B−2<x<1-2<x<1
C1<x<31<x<3
Dx<1x<1 and x>3x>3
Ex<−2x<-2 and x>3x>3
Fx<−2x<-2 and x>1x>1

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