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>0
x is greater than 0

t≥25
t is greater than or equal to 25

x>5.4
x is greater than 5 point 4

−2.5≤m

Answer 1

When graphing inequalities on a number line, an open circle is used to indicate that the number at that point is not included in the solution. This corresponds to inequalities that are strictly greater than (>) or strictly less than (<).

Here are the inequalities you've given and whether they would have an open circle or not:

1. **12 > x** (or x < 12) - This would have an open circle at 12, because 12 is not included.
2. **x > 0** - This would have an open circle at 0, because 0 is not included.
3. **t ≥ 25** - This would have a closed circle at 25, because 25 is included.
4. **x > 5.4** - This would have an open circle at 5.4, because 5.4 is not included.
5. **−2.5 ≤ m** - This would have a closed circle at -2.5, because -2.5 is included.

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

1. **12 > x**
2. **x > 0**
3. **x > 5.4**

These are the three that apply.