Let a, b and c be sets. prove that if a ⊆ b ∪ c and a ∩ b = ∅ then a ⊆ c

Answer and Solution:

As per the question:

Given:

If

To prove:

Proof:

Suppose

As we know that:

Therefore,

or

Now, if we assume that

Then

Since,

and

But

A and B are disjoint set and

Therefore, this is contradictory.

Thus

So,

Every element in the set A is also present in the set C

Therefore,

Hence, proved.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

6(h+1)/2=a

a=area

step-by-step explanation:

its the same thing as a square or rectangle but after multiplying two sides you need to divide it by two.