Playing with inequalities

Algebra Level 3

( x − 1 ) ( x − 2 ) ( x − 3 ) ( x − 4 ) ( x − 5 ) ( x − 6 ) > 0 ( x + 1 ) ( x + 2 ) ( x + 3 ) ( x + 4 ) ( x + 5 ) ( x + 6 ) > 0 \dfrac{(x-1)(x-2)(x-3)}{(x-4)(x-5)(x-6)}>0\\\dfrac{(x+1)(x+2)(x+3)}{(x+4)(x+5)(x+6)} >0

Find a (not the) common set of positive real values of x . For example, a to b is a set where a and b are not included in the set.

5 to ∞ 4 to ∞ 1 to ∞ 3 to ∞ none of theese 2 to ∞ 6 to ∞

Joy Patel by Joy Patel , 20, India

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