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is (-infinity ,-4]U[8,+infinity)

i entered it and it told me that it was wrong

dear davisla (x-4)(x+8)is not equal to (x-8)(x+4)

you are correct ... so for what values of x is (x - 8)(x + 4) = 0?

I thought that X=-8. and X=+4.
I am not sure how the infinity blacket works

sorry I mean X=+8 and X=-4

so the second interval should be (8,infinity)?

the second is (-4, 8)
the third is (8, infinity)

in the second interval, I would choose 0 to plug in since it is easy

Ok so, the answer should be (-infinity,-4)U(-4,0)U(0,8)U(8,infinity)?

I got positive.

so that interval is in our domain ... now, what about -4 and 8? Can the expression = 0?

we can take the sq root of zero, so we do want to include those endpoints in our intervals