Final answer:
To solve the inequalities and write the answers in interval notation, you need to understand the symbols used in inequalities and the meaning of different interval notations.
Step-by-step explanation:
To solve inequalities and write the answers in interval notation, we need to first understand the symbols used in inequalities:
- < represents less than
- > represents greater than
- ≤ represents less than or equal to
- ≥ represents greater than or equal to
- ∩ represents intersection (AND)
- ∪ represents union (OR)
a. In interval notation, (Answer1, Answer2) denotes an open interval where the endpoints are excluded, while [Answer1, Answer2] denotes a closed interval where the endpoints are included.
b. In interval notation, [Answer1, Answer2] denotes a closed interval where the endpoints are included.
c. In interval notation, (Answer1, Answer2) denotes an open interval where the endpoints are excluded.
d. In interval notation, [Answer1, [infinity]) denotes a closed interval where the beginning point is included and there is no endpoint.