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Juan Set 2 Paper 1 · Q6

Paper 1Number & countingAlgebra

Let aa be an integer such that the inequality

0<∣x2−2x+2∣−x2−x<a0<|x^2-2x+2|-x^2-x<a

is satisfied by exactly 4 integer values of xx.

What is the sum of the distinct possible integer values of aa?

A33
B36
C39
D42
E45

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