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1 of 51 of 5 ItemsQuestionWhich inequalities would have an open circle when graphed? Check the three that apply.(3 points)Responsesx>5.4x is greater than 5 point 412>x1 half is greater than xt≥25t is greater than or equal to 25x>0x is greater than 0−2.5≤m
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GPT-4o mini
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:
1. **x > 5.4** - Open circle (endpoint not included)
2. **1/2 > x** - Open circle (endpoint not included)
3. **t ≥ 25** - Closed circle (endpoint included)
4. **x > 0** - Open circle (endpoint not included)
5. **−2.5 ≤ m** - Closed circle (endpoint included)
The inequalities that would have an open circle when graphed are:
1. **x > 5.4**
2. **1/2 > x**
3. **x > 0**
So, the three responses that apply are:
1. x > 5.4
2. 1/2 > x
3. x > 0
Let's go through the options:
1. **x > 5.4** - Open circle (endpoint not included)
2. **1/2 > x** - Open circle (endpoint not included)
3. **t ≥ 25** - Closed circle (endpoint included)
4. **x > 0** - Open circle (endpoint not included)
5. **−2.5 ≤ m** - Closed circle (endpoint included)
The inequalities that would have an open circle when graphed are:
1. **x > 5.4**
2. **1/2 > x**
3. **x > 0**
So, the three responses that apply are:
1. x > 5.4
2. 1/2 > x
3. x > 0
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