Question

If A = {4,5,6} and B = {x : 0 < x <5} , then​

Answer 1

See Explanation

Step-by-step explanation:

Given

`A = \{4,5,6\}`

`B = \{x:0<x<5\}`

The question is incomplete, because what is required is not stated.

However, possible questions are to list the elements of:

`(a)\ A \ n\ B\\`

`(b)\ A \ u\ B`

First, we populate B

`B = \{x:0<x<5\}`

This means that the elements of B are less than 5 but greater than 0.

So we have:

`B = \{1,2,3,4\}`

This gives:

`A = \{4,5,6\}`

`B = \{1,2,3,4\}`

A n B means that, we list the common elements of A and B.

So:

`A\ n\ B = \{4\}`

A u B means that, we list the all elements of A and B, without repetition.

So:

`A\ u\ B = \{1,2,3,4,5,6\}`