solve the given linear inqualityand identify the correct interval notation. 2< 5x - 23

Question

I need to see how to solve this problem

Answer 1

2 < 5x - 23

 

Add 23 to both sides:

 

25 < 5x

 

Divide both sides by 5:

 

5 < x

 

The solution is all values of x greater than 5.  In interval notation:

 

(5,∞)

 

A parenthesis symbol ( or ) means that the number nearest it is not included in the solution.  A bracket symbol [ or ] is used when the number is included in the solution.  When the interval includes ±∞, always use the () since a number can never actually equal infinity.