Question

If M is any set, then write M∪Ф and M∩Ф.

Answer 1

Answer:

M∪Ф = {Ф, 1, 2, 3}

M∩Ф = {Ф}

Step-by-step explanation:

In the question,

Let us say a set M is given by,

M = {1, 2, 3}

So,

The union of the sets M and Empty set, Ф is given by,

Ф = {Ф}

So,

M∪Ф = {1, 2, 3} ∪ {Ф} = {Ф, 1, 2, 3}

Because, Ф is common to all.

So,

M∪Ф = {Ф, 1, 2, 3}

Also,

M∩Ф is an Empty Set.

Because,

M∩Ф = {1, 2, 3} ∩ {Ф} = {Ф}

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

DEFINITIONS :

1. UNION OF SETS :

For any two non empty sets A and B, the Union of A and B is defined as

$\sf{A \cup \: B = \{ \: x : x \in \: A \: \: or \: \: x \in B \: \} \: }$

2. INTERSECTION OF SETS :

For any two non empty sets A and B, the Intersection of A and B is defined as

$\sf{A \cap \: B = \{ \: x : x \in \: A \: \: and \: \: x \in B \: \} \: }$

3. EMPTY SET

A set is said to be a Empty set if it contains no element

$\sf{It \: is \: denoted \: by \: \: \Phi }$

TO DETERMINE

If M is any set . Then

• M ∪ Ф
• M ∩ Ф

CALCULATION

Since M is any set and empty set contains no element

So by the above mentioned definitions we get

$\sf{M \cup \Phi \: = M }$

And

$\sf{M \cap \Phi \: = \Phi }$

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LEARN MORE FROM BRAINLY

Let A={1,2,0,-1} B={1,3-1,-3} and

function f = A to B f(x) =px+q

If f={ (1,1),(2,3),(0,-1),(-1,-3)}

find the value of p & q

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