Question

The universal set, K and set W are defined below.
K = {all integers}
W = {x:3< x < 10}
Select all of the statements below that are true.
3ЄW
4ЄW
1ЄW
7.5ЄW
10ЄW
W=Ø​

Answer 1

Answer:

- 3 ∈ W

- 4 ∈ W

Step-by-step explanation:

Given:

- Universal set K = {all integers}

- Set W = {x: 3 < x < 10}

1. **Statements about the elements of set W**:

- 3 ∈ W (3 is an element of W)

- 4 ∈ W (4 is an element of W)

- 1 ∉ W (1 is not an element of W)

- 7.5 ∉ W (7.5 is not an integer, so it's not an element of W)

- 10 ∉ W (10 is not less than 10, so it's not an element of W)

2. **Comparison of set W to the empty set (Ø)**:

- W ≠ Ø (Set W contains elements, so it is not an empty set)

Therefore, the true statements are:

- 3 ∈ W

- 4 ∈ W