Question

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

Answer 1

Answer:

See Explanation

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:

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