Question
Use the image to answer the question.
What solution set does the number line graph?
(1 point)
Responses
x<−3
𝑥
<
−
3
and x>3
𝑥
>
3
x less than negative 3 and x greater than 3
x≤−3
𝑥
≤
−
3
and x≥−3
𝑥
≥
−
3
x less-than-or-equal-to negative 3 and x greater-than-or-equal-to negative 3
x≤−3
𝑥
≤
−
3
or x≥−3
𝑥
≥
−
3
x less-than-or-equal-to negative 3 or x greater-than-or-equal-to negative 3
x<−3
𝑥
<
−
3
or x>3
What solution set does the number line graph?
(1 point)
Responses
x<−3
𝑥
<
−
3
and x>3
𝑥
>
3
x less than negative 3 and x greater than 3
x≤−3
𝑥
≤
−
3
and x≥−3
𝑥
≥
−
3
x less-than-or-equal-to negative 3 and x greater-than-or-equal-to negative 3
x≤−3
𝑥
≤
−
3
or x≥−3
𝑥
≥
−
3
x less-than-or-equal-to negative 3 or x greater-than-or-equal-to negative 3
x<−3
𝑥
<
−
3
or x>3
Answers
GPT-4o mini
To determine the correct solution set from the given options, we need to analyze the number line graph. However, since there is no image provided, I can guide you on how to interpret the options based on common interpretations of number line graphs.
1. **x < -3 and x > 3**: This option indicates that the graph consists of two separate regions: one to the left of -3 and another to the right of 3.
2. **x ≤ -3 and x ≥ -3**: This statement would not make sense as it doesn't define a specific range but rather implies all x-values around -3.
3. **x ≤ -3 or x ≥ -3**: This is always true for all x-values, as any number is either less than or equal to -3 or greater than or equal to -3.
4. **x < -3 or x > 3**: This also indicates two separate regions: numbers less than -3 and numbers greater than 3.
If the graph has open circles at -3 and 3 and shaded regions extending left from -3 and right from 3, the correct statement would be:
- **x < -3 or x > 3**
If the graph has closed circles at -3 or includes points at -3, the correct statement would change accordingly.
Without the image, my suggestion based on common scenarios is that if the graph represents a situation with two distinct open intervals, the answer would be **x < -3 or x > 3**. Check the number line to confirm whether it depicts open or closed intervals at -3 and 3 to ensure accuracy.
1. **x < -3 and x > 3**: This option indicates that the graph consists of two separate regions: one to the left of -3 and another to the right of 3.
2. **x ≤ -3 and x ≥ -3**: This statement would not make sense as it doesn't define a specific range but rather implies all x-values around -3.
3. **x ≤ -3 or x ≥ -3**: This is always true for all x-values, as any number is either less than or equal to -3 or greater than or equal to -3.
4. **x < -3 or x > 3**: This also indicates two separate regions: numbers less than -3 and numbers greater than 3.
If the graph has open circles at -3 and 3 and shaded regions extending left from -3 and right from 3, the correct statement would be:
- **x < -3 or x > 3**
If the graph has closed circles at -3 or includes points at -3, the correct statement would change accordingly.
Without the image, my suggestion based on common scenarios is that if the graph represents a situation with two distinct open intervals, the answer would be **x < -3 or x > 3**. Check the number line to confirm whether it depicts open or closed intervals at -3 and 3 to ensure accuracy.