# How do I solve the polynomial inequality 1<2x+3<11?

Hey there! To solve polynomial inequalities like these (where there is a binomial in the middle), always remember to do inverse operations on BOTH sides!

To begin, subtract 3 from all parts of the equation like so:

$- 2 < 2 x < 8$

Now, simply divide by 2 on all parts of the equation and you should end up with:

$- 1 < x < 4$

That's it!

Just as a quick reminder, if you ever have to divide by a negative number to get x by itself, make sure to switch the direction of the inequalities!

Hopefully you've understood all this and hopefully I was of some help! :)