Answer:
[tex](2,5]\cup(7,\infty)[/tex]For inequality symbols less than < or greater than >, we will use round parenthesis ( or )
For inequality symbols less than or equal to ≤ and greater than or equal to ≥, we will use brackets [ or ]
When combining intervals with "or", we will use ∪.
For the given inequality:
2 < x ≤ 5 or x >7
Since we used < for 2, we will use parenthesis (
We used ≤ for 5, hence we will use bracket ]
Combined with "or", we will use ∪
Since we used > for 7, we will use parenthesis (
And since x is any value greater than 7 and could go on until positive infinity, we will use ∞ and parenthesis )
The interval equivalent to this would then be:
[tex](2,5]\cup(7,\infty)[/tex]