Solve the inequality for x given that (x-6)/(x-3)(x-9)<0
Stacey Warren - Expert brainly.com
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this is not as hard as it looks
changes sign at 3,6,9
divide number line up in to four intervals
pick some interval and see if it is positive or negative there there, then you will know all
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yeah but you don't need no circles, you need intervals
\[(-\infty, 3),(3,6),(6,9),(9\infty)\] are your intervals
check on one then alternate
somehow i got that (-inf,3)U(3,6)U(9,inf)
I have no idea what im doing wrong
oh wait is it e?
you have two adjacent intervals \((-\infty,3)\) and \((3,6)\) that can't be right
it changes sign at 3 so if it is positive on one interval it must be negative on the other
did you check on any one interval?
with some practice you won't have too, but it doesn't hurt
i did a little math wrong and forgot that i'm looking for negatives, not positives
what interval did you check?
i got that (-inf,3) was negative, (3,6) was positive, (6,9) was negative, and (9,inf) was positive
i would also point out that one only of the above answers is possible, even if you didn't check anything
yeah at the risk of repeating myself you only have to check one
if you know it is negative on \((-\infty,3)\) then it must be
so the correct answer is (-inf,3)(6,9), right?
and yeah it is E
The graph confirms the answer you got
the portion on the interval (-inf, 3) is below the x axis
the portion on the interval (6,9) is below the x axis
everything else is either on the x axis or above it