Question

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

Answer 1

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<2x<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! :)