We get that the absolute inequality will be | x + 16 | < 8.
We are given two inequalities:
x < - 8 and x > 24
We need to write one inequality by combining both the inequalities.
We know that:
x < - 8 means that x can have any value less than - 8
x ∈ ( - ∞ , - 8 )
Also, x > 24 means that:
x ∈ ( 24 , ∞ )
So, combining these, we get that:
x = ( - ∞ , - 8 ) U ( 24 , ∞ )
Inequality will be:
| x + 16 | < 8
Therefore, we get that the absolute inequality will be | x + 16 | < 8.
Learn more about absolute inequality here:
https://brainly.com/question/11613554
#SPJ9
