Question

Q3. P = Set the letter of the word
'MATHS', Q=
the set of letter
the words 'AWESOME'. Then, (PnQ) n (QuP)=

,​

Answer 1

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

GIVEN

P = The Set of letters of the word 'MATHS'

Q= The set of letters the words 'AWESOME'

TO DETERMINE

$\sf{( P \cap Q) \cap (Q \cup P)\: }$

CALCULATION

$\sf{ P = The \: Set \: of \: letters \: of \: the \: word \: \: 'MATHS'\: }$

$= \sf{ \{ \: M, A, T, H, S \: \} }$

$\sf{Q= The \: set \: of \: letters \: of \: the \: word \: \: 'AWESOME'}$

$= \sf{ \{ \: A, W, E, S, O, M \: \} }$

$\therefore \: \: \sf{( P \cap Q)\: }$

$= \sf{ \sf{ \{ \: M, A, S \: \} }\: }$

$\therefore \: \: \sf{( Q \cup \:P) }$

$= \sf{ \{ \: A, W, E, S, O, M , T, H \: \} }$

Hence

$\sf{( P \cap Q) \cap (Q \cup P)\: }$

$= \sf{ \sf{ \{ \: M, A, S \: \} }\: }$

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LEARN MORE FROM BRAINLY

If A, B and C are any three sets then prove the following using venn-diagram.

A∩(BUC) = (A∩B) U (A∩C)

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