Pregunta
Write the inequality using interval notation and illustrate the inequality using the real number line.
Choose the correct interval notation below that represents the inequality
A.
B.
C.
Choose the correct interval notation below that represents the inequality
A.
B.
C.
Ask by Newton Gonzalez. in the United States
Mar 26,2025
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The correct interval notation is
Solución
To determine the correct interval notation for the inequality, we need to know the specific inequality being represented. However, since the options provided suggest that the inequality involves the number -7 and extends to infinity, we can analyze the options based on common interpretations.
-
Option A:
- This represents all numbers greater than -7, but not including -7 itself. This is an open interval. -
Option B:
- This notation is incorrect because infinity cannot be included in an interval. -
Option C:
- This notation is also incorrect because it suggests that -7 is not included, but infinity is included, which is not valid.
Assuming the inequality is of the form
Now, let’s illustrate this inequality on the real number line:
- Draw a number line.
- Place an open circle at -7 to indicate that -7 is not included.
- Shade the line to the right of -7 to indicate all numbers greater than -7.
If you have a specific inequality in mind, please provide it for a more accurate representation.
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Simplifique esta solución Extra Insights
To write the inequality using interval notation, you would typically consider whether the endpoints are included or not. If the inequality is
For the real number line, you would draw a line with a point at -7 marked with an open circle (indicating that -7 is not included), then shade to the right towards infinity.
So, the correct answer is A.
If you need a fun fact, did you know that interval notation was developed to simplify the representation of subsets of real numbers, making it easier for mathematicians to communicate their ideas succinctly? It’s like a code language for numbers!
And for the illustration, imagine a big party on the number line starting just after -7 and going on forever - no RSVP needed past that point! The real number line can be thought of as one big open-ended celebration.
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