This image explains how to convert inequalities into interval notation and includes examples. Here is a summary of the key points:

1. Using round parentheses ( ):

   • For inequalities involving "less than" < or "greater than" >, the endpoints are not included.
   • Example: $3 < x < 5$ becomes $(3, 5)$.

2. Using square brackets [ ]:

   • For inequalities involving "less than or equal to" $\leq$ or "greater than or equal to" $\geq$, the endpoints are included.
   • Example: $x \geq 3$ becomes $[3, \infty)$.

3. Union of Intervals (U):

   • When combining two intervals, use the union symbol $U$.
   • Example: $3 < x < 5$ or $7 < x < 9$ becomes $(3, 5) \cup (7, 9)$.

For the specific problem in your file, the inequality $2 < x < 5$ or $x > 7$ would be represented as the union of two intervals:
$(2, 5) \cup (7, \infty)$

Would you like more details or further examples on how to convert inequalities to interval notation?