({x-8}/{x-7})

Question

({x-8}/{x-7}) <=-3
FInd the interval 

i added 3 and tried to solve it but the systems marks me wrong.. i came up with (7,7.25]U[7.25,infinity)

goformit100 · Answer

"Welcome to OpenStudy. I can guide regarding this useful site; ask your doubts from me, for it you can message me. Please use the chat for off topic questions. And remember to give the helper a medal, by clicking on "Best Answer". We follow a code of conduct, ( http://openstudy.com/code-of-conduct ). Please take a moment to read it."

anonymous · Answer

$$\frac{x-8}{x-7}\le-3~~~~~~~~~~~\text{(right away you know that }x\not=7)\
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text{(you also know that if }x<7,\text{ then the left side is positive})\
x-8\le-3(x-7)\
x-8\le-3x+21\
4x\le29\
x\le\frac{29}{4}$$
So it looks like you should be getting $(7,7.25]$.

anonymous · Answer

damn, i was close, thanks for your response

anonymous · Answer

You're welcome!