What is the difference from using brackets [] and parenthesis () in interval notation. How does this notation relate to graphing an inequality?
What is the difference between a bounded and unbounded interval?
What is the reasoning for only using parenthesis when infinity is included in your interval?
Give an example of a bounded interval and an unbounded interval. Represent the interval as an inequality and verbal. You may not use an example shown in your reading.
1. Brackets are used to indicate the number is included when graphing an inequality ( closed circle ). Parenthesis are used to indicate that the number right next to it is not included, therefore it is either greater or smaller than that number (open circle in an inequality graph).
2. Bounded is when there are numbers on both sides of the interval. Unbounded is when there is an infinity symbol.
3. Because with infinity, it just keeps on going forever, therefore it will never be a closed circle, or a bounded interval.
4. Bounded : (-8,-2) All real numbers between -8 and -3.
Unbounded : (-∞,4)
1. Brackets are used to indicate the number is included when graphing an inequality ( closed circle ). Parenthesis are used to indicate that the number right next to it is not included, therefore it is either greater or smaller than that number (open circle in an inequality graph).
2. Bounded is when there are numbers on both sides of the interval. Unbounded is when there is an infinity symbol.
3. Because with infinity, it just keeps on going forever, therefore it will never be a closed circle, or a bounded interval.
4. Bounded : (-8,-2) All real numbers between -8 and -3.
Unbounded : (-∞,4)