Question

Here X={1,2,3,4,5}. τ={{},{1,3,4},{2,3,4},{3,4},{1,2,3,4},X}

Select the points that belong to {4}ᵃ
(a).1
(b).2
(c).3
(d).4
(e).5

Answer 1

The point 4 belongs to {4}ᵃ in the given set.

Step-by-step explanation:

In the given set X={1,2,3,4,5} and τ={{},{1,3,4},{2,3,4},{3,4},{1,2,3,4},X}, we need to select the points that belong to {4}ᵃ.

From the given set τ, we can see that {4}ᵃ is equal to {3,4}, as it contains the element 4. Therefore, the point 4 belongs to {4}ᵃ.

The other points in the set X={{1,2,3,4,5}} are not included in {4}ᵃ. So, the answer to the question is:

• (a) Does not belong to {4}ᵃ.
• (b) Does not belong to {4}ᵃ.
• (c) Does not belong to {4}ᵃ.
• (d) Belongs to {4}ᵃ.
• (e) Does not belong to {4}ᵃ.