Question

Solve and express in nomial form
-26 <3x-8<10

Answer 1

`\boxed{\begin{array}{lllll} -26& < &3x-8& < &10\\\\ -18& < &3x& < &18\\\\ \cfrac{-18}{3}& < &x& < &\cfrac{18}{3}\\\\ -6& < &x& < &6 \end{array}}\hspace{5em} \begin{array}{llll} x > -6\\\\ x < 6 \end{array}`

now, is just a triplet and so any operation we do will occur on all three sides, however, if you wish, you can also see it as a duo with a common component which is the one in the middle, like

-26 < 3x - 8

and

3x - 8 < 10

will give us the same thing.