Both Positive & Negative

Algebra Level 3

How many integers a a are there such that the function y = a x 108 y=ax-108 has both positive and negative values in the domain 2 x 6 ? 2 \leq x \leq 6?

37 35 34 36

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1 solution

Aaaaaa Bbbbbb
May 5, 2014

So a has to satisfy: 2 a 108 < 0 < = > a < 54 , 6 a 108 > 0 < = > a > 18 R e s u l t = 54 18 1 = 35 2a-108<0 <=> a<54, 6a-108>0 <=> a>18 \Rightarrow Result = 54-18-1=\boxed{35}

Can u explain it more clearly plz

Mayank Gupta - 7 years ago

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