Question

solve and write as interval notation 5/9 < x -1/9 < 6

Answer 1

\[\huge \frac 59 < x - \frac 19 < 6\]
firs step is to add 1/9 to both sides...

Answer 2

so 5/9<x<1/9+6?

Answer 3

when i said both.. i meant all sides

Answer 4

\[\huge \frac 59 + \frac 19 <x < \frac 19 + 6\]
now simplify this

Answer 5

so 1/9+5/9<x<1/9+6?

Answer 6

yes. now simplify it

Answer 7

combine the like terms

Answer 8

Add 1/9 to the each part, then reduce the parts that you can. After doing so, you get the following:
\[\frac{ 2 }{ 3 }<x<\frac{ 55 }{ 9 }\]

Answer 9

2/3<x<55/9 is the answer in interval notation

Answer 10

yes.

Answer 11

That is what you get when you add 1/9 to each part and then reduce each part to the simplest form.

Answer 12

\[(2/3,55/9)\]