Question

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

12>x
1 half is greater than x

x>5.4
x is greater than 5 point 4

x>0
x is greater than 0

t≥25
t is greater than or equal to 25

−2.5≤m

Answer 1

When graphing inequalities on a number line, an open circle is used for inequalities that do not include the endpoint (meaning the value is not part of the solution set). Here are the inequalities from your list that would have an open circle when graphed:

1. **12 > x** (or equivalently, x < 12) - Open circle at 12.
2. **x > 5.4** - Open circle at 5.4.
3. **x > 0** - Open circle at 0.

The inequalities that would not have an open circle are:

- **t ≥ 25** - Closed circle at 25 because it includes 25.
- **−2.5 ≤ m** - Closed circle at -2.5 because it includes -2.5.

So, the inequalities that would have an open circle when graphed are:
- 12 > x
- x > 5.4
- x > 0