What is the solution set of [1/x-2]<-2
1 answer:
Answer:
3/2 < x < 2
Step-by-step explanation:
We assume the problem is ...
[tek]\dfrac{1}{x-2}<-2[/tex]
This will not be true for x-2 > 0 because that would make the left side positive. So, we must have x < 2, which makes the denominator negative. Multiplying by (x-2), we get ...
1 > -2(x -2)
1 > -2x +4
2x > 3 . . . . . . add 2x-1
x > 3/2
From above, we also have x < 2, so the solution set is ...
3/2 < x < 2
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Hey there!
Firstly, we are going add
on each of the sides that we're working with. like ↓
This gives us
(if you are wondering how we got the out come of 
it is because I added 
Now multiply
on each of your sides
Cancel the first set and you will find the value of
Good luck on your assignment and enjoy your day
~
Firstly, we are going add
This gives us
Now multiply
Cancel the first set and you will find the value of
Good luck on your assignment and enjoy your day
~