4x+1<5 and 2x+3>-17

Question

needs to be turned into an interval notation

Answer 1

If 4x+1<5, then 4x<4.  So, x < 1

 

If 2x+3>-17, then 2x>-20.  So, x > -10

 

Therefore x < 1 and x > -10

 

The word "and" means that both conditions must be met simultaneously.

 

So, the solution set is the open interval (-10,1).