Can someone help me? How would I write 0 < x < 80 and 80 < x < 175 in interval notation?
(0,80) (80,175)
close. Try (0,80)U(80,175)
Certainly! To write the inequalities in interval notation, you need to keep in mind a few key points:
1. Parentheses are used for excluding the endpoint values (i.e., when the inequality symbol is only "<" or ">").
2. Square brackets are used for including the endpoint values (i.e., when the inequality symbol is "<=" or ">=").
3. The "∞" symbol is used to represent infinity, and "-" is used to indicate negative infinity.
Now, let's write the given inequalities in interval notation:
For the inequality 0 < x < 80:
- The number 0 is excluded, so we use parentheses.
- The number 80 is also excluded, so we use parentheses again.
- Therefore, the interval notation for this inequality is (0, 80).
For the inequality 80 < x < 175:
- The number 80 is excluded, so we use parentheses.
- The number 175 is also excluded, so we use parentheses again.
- Consequently, the interval notation for this inequality is (80, 175).
Remember, interval notation represents the range of values within the given inequality, where parentheses indicate exclusion of the endpoint values.