Question
determine which words describe the graphed inequality. there is only one answer per graph. • = closed circle ø=open circle)
<––|––|––|––|––|––ø--|--|--|--|--|--> | <--|--|--|--•––|––|––|––|––|> | <--|--|--|--|--|--|--ø–|–|–|–|–|–> | <–-|–-|–-|–-|–-ø–|--|--|--|--> |
...........-2......0.........2......4....6........|.......-2.....0........2........4.......|....-4....-2....0.....2.....4....6.................-4.....-2......0.....2
....................graph 1.......................|..................graph 2..............|.................graph 3..................|................graph 4................|
options:
a. at least 2
b. at most 2
c. less than 2
d. more than 2
e. minimum of -1
f. greater than -1
g. less than -1
h. at most -1
<––|––|––|––|––|––ø--|--|--|--|--|--> | <--|--|--|--•––|––|––|––|––|> | <--|--|--|--|--|--|--ø–|–|–|–|–|–> | <–-|–-|–-|–-|–-ø–|--|--|--|--> |
...........-2......0.........2......4....6........|.......-2.....0........2........4.......|....-4....-2....0.....2.....4....6.................-4.....-2......0.....2
....................graph 1.......................|..................graph 2..............|.................graph 3..................|................graph 4................|
options:
a. at least 2
b. at most 2
c. less than 2
d. more than 2
e. minimum of -1
f. greater than -1
g. less than -1
h. at most -1
Answers
Answered by
GPT-4o mini
To determine which words describe each graphed inequality, we need to analyze the graphs provided based on the conditions suggested by the options. However, since I cannot see the graphs, I will guide you on how to interpret each of them based on typical characteristics of inequalities:
1. **Graph 1:**
- If the graph indicates an interval that includes points greater than or equal to 2 (closed circle at 2) extending to the right, this represents "at least 2."
- If the interval excludes the endpoint of -1 and goes leftwards, it could represent "less than -1."
2. **Graph 2:**
- If there is an open circle at 2 and the interval extends to the left, this suggests "less than 2."
- If the graph is bounded by a closed circle at -1, and goes right, it might mean "greater than -1."
3. **Graph 3:**
- If it indicates any points below -1 and not including it (open circle at -1), this graph would mean "less than -1."
- If it shows values starting from -1 and extending upwards, then it suggests "greater than -1."
4. **Graph 4:**
- If the graph has a closed circle at -1 and includes values less than -1, this could mean "at most -1."
- If it suggests values greater than -1 with an open circle, it would imply "greater than -1."
You can map each graph to the descriptions based on the number of endpoints and direction of the arrow on the number line.
Feel free to provide more specifics or key features of each graph if you need more tailored conclusions!
1. **Graph 1:**
- If the graph indicates an interval that includes points greater than or equal to 2 (closed circle at 2) extending to the right, this represents "at least 2."
- If the interval excludes the endpoint of -1 and goes leftwards, it could represent "less than -1."
2. **Graph 2:**
- If there is an open circle at 2 and the interval extends to the left, this suggests "less than 2."
- If the graph is bounded by a closed circle at -1, and goes right, it might mean "greater than -1."
3. **Graph 3:**
- If it indicates any points below -1 and not including it (open circle at -1), this graph would mean "less than -1."
- If it shows values starting from -1 and extending upwards, then it suggests "greater than -1."
4. **Graph 4:**
- If the graph has a closed circle at -1 and includes values less than -1, this could mean "at most -1."
- If it suggests values greater than -1 with an open circle, it would imply "greater than -1."
You can map each graph to the descriptions based on the number of endpoints and direction of the arrow on the number line.
Feel free to provide more specifics or key features of each graph if you need more tailored conclusions!