Topmusicanswers
For infinite intervals, use Infinity for ∞ (positive infinity) and -Infinity for -∞ (negative infinity). For example, the interval containing all points greater than or equal to 6 could be expressed [6,infinity).
- How do you write infinity in interval notation?
- What does the interval (- ∞ ∞ indicate?
- How do you write negative infinity in interval notation?
- Is negative infinity to infinity an open interval?
How do you write infinity in interval notation?
We use the symbol ∞ to indicate "infinity" or the idea that an interval does not have an endpoint. Since ∞ is not a number, it should not be used with a square bracket.
What does the interval (- ∞ ∞ indicate?
Notice the symbol ∞ which mean infinity. -∞ means minus infinity and +∞ means positive infinity. Both -∞ and +∞ are used to show that an interval is unbounded or extends indefinitely to the left or to the right respectively.
How do you write negative infinity in interval notation?
Interval notation:
Since there is no lower endpoint (it is ALL values less than -1/2), we put the negative infinity symbol on the left side. The curved end on -1/2 indicates an open interval. Negative infinity always has a curved end because there is not an endpoint on that side.
Is negative infinity to infinity an open interval?
We can look at infinity and negative infinity as endpoints in two ways. On one hand, infinity is a concept, not an actual number, so we can't ever actually reach it. Viewing it this way, we would say the endpoints infinity and negative infinity are not included in the interval, so it's an open interval.
