Question

Solve the inequalities and write the answers in interval notation.

a. S∈(−[infinity],Answer1)∪(Answer2,[infinity])
b. S∈[Answer1,Answer2]
c. S∈(Answer1,Answer2)
d. S∈[Answer1,[infinity])

Answer 1

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.