Question

Which inequalities would have an open circle when graphed? Check the three that apply.(3 points)
Responses

x>5.4
x is greater than 5 point 4

t≥25
t is greater than or equal to 25

x>0
x is greater than 0

12>x
1 half is greater than x

−2.5≤m

Answer 1

An open circle is used to represent inequalities that do not include the endpoint. This typically applies to inequalities that are strict (greater than or less than). Here are the inequalities from your list that would be represented by an open circle:

1. **x > 5.4** (open circle at 5.4)
2. **x > 0** (open circle at 0)
3. **12 > x** (which is equivalent to x < 12, also represented by an open circle at 12)

The ones that would **not** have an open circle are:

- **t ≥ 25** (closed circle at 25 because it includes the value)
- **−2.5 ≤ m** (closed circle at -2.5 because it includes the value)

So, the three inequalities that would have an open circle when graphed are:

1. **x > 5.4**
2. **x > 0**
3. **12 > x** (or **x < 12**)