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Beyond Horizon Set 3 Paper 2 · Q17

Paper 2Algebra

For all xx such that 1≤x≤31\le x\le 3, the inequality (x−3a)(x−a−3)<0(x-3a)(x-a-3)<0 holds for

Ano value of aa
Ball aa satisfying 23<a<1\frac23<a<1
Call aa satisfying 0<a<130<a<\frac13
Dall aa satisfying 13<a<23\frac13<a<\frac23
Eall aa satisfying 0<a<230<a<\frac23
Fall aa satisfying 0<a<10<a<1

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