(x-3)(x-4)>0 why do we represent this as x>3 and x<4 not, x>3 and x>4

Question

Answer 1

Hi
(X-3)(X-4) >0
so this means both should be greater than 0 or both less than 0
so even if we take individually x-3>0 and x-4>0
The common region or overlap is x>4
similarly when less than 0
the overlap is x<3.

Answer 2

Hi
(X-3)(X-4) >0
so this means both should be greater than 0 or both less than 0
so even if we take individually x-3>0 and x-4>0
The common region or overlap is x>4
similarly when less than 0
the overlap is x<3.

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(x-3)(x-4)&gt;0 why do we represent this as x&gt;3 and x&lt;4 not, x&gt;3 and x&gt;4

(x-3)(x-4)>0 why do we represent this as x>3 and x<4 not, x>3 and x>4