Question

Someone help me determine whether the statement is true or false

Answer 1

The Statement D⊆B is False.

Explanation:

Given:

A = {1, 3, 5, 7 }

B = {5, 6, 7, 8}

C = {5, 8}

D = {2, 5, 8}

U = {1, 2, 3, 4, 5, 6, 7, 8}

To Check:

D⊆B = True or False

Solution:

The sign '⊆' symbolize SUBSET

So D⊆B means D is the Sub Set of B

That means All the element of Set D must be there in the SET of B Then it comes True.

Or else it is False

D = {2, 5, 8}

B = {5, 6, 7, 8}

Therefore D⊆B is a FALSE statement

For it to be TRUE we must have set B as

D = {2, 5, 8}

B = {2,5, 6, 7, 8}

Now D⊆B is a TRUE statement