Answer :

Answer:

[tex]x > 5[/tex]

or, in interval notation

[tex]\left(5, \infty)[/tex]

Step-by-step explanation:

The given inequality is

[tex]x + 9 > 14[/tex]

To find the range of values for x that satisfy this inequality we have to isolate x on the left side of this inequality

This can be done by subtracting 9 from both sides:
[tex]x + 9 - 9 > 14 - 9[/tex]

[tex]x > 5[/tex]

So the range of values that satisfy the inequality is the set of all real values of x greater than 5

This can be represented in a couple of ways

As an inequality:
[tex]x > 5[/tex]  

and in interval notation as
[tex]\left(5, \infty)[/tex]