What is the solution of 3x+8/x-4 > ; = 0

The division between two numbers is positive if and only if they have the same sign. So, this fraction is positive if numerator and denominator are either both positive or both negative.

For this reason, you want to study the sign of numerator and denominator separately first.

As for the numerator, you have

Similarly, for the denominator you have

(note that we used strict inequality for the denominator, since it can't be zero).

So, the sign of the fraction works like this:

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

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