How do you solve #14< 5p + 4< 34#?

Question

1499 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-25T20:08:22

#=> 2 < p < 6#

What you do to one piece of this compound inequality you must do to each of the other pieces as well.

We start with:

#=>14 < 5p + 4 < 34#

We subtract #4# from all parts:

#=>14-4 < 5p + 4 -4 < 34 -4#

#=> 10 < 5p < 30#

Now we divide all parts by #5#:

#=> 10/5 < (5p)/5 < 30/5#

#=> 2 < p < 6#