An open circle is used to represent inequalities that do not include the endpoint (such as greater than or less than), while a closed circle is used for inequalities that do include the endpoint (such as greater than or equal to or less than or equal to).
Let's go through the options:
- x > 5.4 - Open circle (endpoint not included)
- 1/2 > x - Open circle (endpoint not included)
- t ≥ 25 - Closed circle (endpoint included)
- x > 0 - Open circle (endpoint not included)
- −2.5 ≤ m - Closed circle (endpoint included)
The inequalities that would have an open circle when graphed are:
- x > 5.4
- 1/2 > x
- x > 0
So, the three responses that apply are:
- x > 5.4
- 1/2 > x
- x > 0