4 ≤ x < 8

Question

4 < x ≤ 8
4 < x < 8
Match each domain to the equivalent interval notation domain.
[4, 8)
[4, 8]
(4, 8)
(4, 8]

Answer 1

Let's match each domain to its equivalent interval notation:

1. 4 ≤ x < 8

   • This means that x can be equal to 4 but is less than 8, so its interval notation is [4, 8).

2. 4 < x ≤ 8

   • This means that x is greater than 4 but can equal 8, so its interval notation is (4, 8].

3. 4 < x < 8

   • This means that x is strictly greater than 4 and less than 8, so its interval notation is (4, 8).

So the matches are:

• 4 ≤ x < 8 → [4, 8)
• 4 < x ≤ 8 → (4, 8]
• 4 < x < 8 → (4, 8)