If P- x -x-10-x- 16-Q- y- y is an even number between 8 and 20- thenP-Q-

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Standard XII

Mathematics

Difference of Sets

If P= x :x∈ℕ,...

Question

$If P = {x : x \in N, 10 < x < 16},$
$Q = {y : y is an even number between 8 and 20},$ then
$P - Q =$

{11, 13, 15}

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{11, 14, 15}

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{12, 14}

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Solution

The correct option is A ${11, 13, 15}$
Given $P = {11, 12, 13, 14, 15} and$
$Q = {10, 12, 14, 16, 18}$
Now, $P - Q =$ Set of all elements in set $P$ which are not in set $Q .$
Or $P - Q = P - (P \cap Q) = {11, 13, 15}$

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If P={x:x∈N,10<x<16}, Q={y:y is an even number between 8 and 20}, then P−Q=

The correct option is A {11,13,15}Given P={11,12,13,14,15} and Q={10,12,14,16,18} Now, P−Q= Set of all elements in set P which are not in set Q. Or P−Q=P−(P∩Q)={11,13,15}

$If P = {x : x \in N, 10 < x < 16},$
$Q = {y : y is an even number between 8 and 20},$ then
$P - Q =$

The correct option is A ${11, 13, 15}$
Given $P = {11, 12, 13, 14, 15} and$
$Q = {10, 12, 14, 16, 18}$
Now, $P - Q =$ Set of all elements in set $P$ which are not in set $Q .$
Or $P - Q = P - (P \cap Q) = {11, 13, 15}$