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]
