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CLASS_11_MATHS_SOLUTIONS_NCERT

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Class XI Chapter 1 – Sets Maths<br />

______________________________________________________________________________<br />

Exercise 1.4<br />

Question 1:<br />

Find the union of each of the following pairs of sets:<br />

(i) X1,3,5 Y 1, 2,3<br />

(ii)<br />

, , , , , , <br />

A a e i o u B a b c<br />

(iii) A x : xis a natural number and multipleof 3<br />

B <br />

(iv)<br />

<br />

x : x is a natural number less than 6<br />

<br />

A x : x is a natural number and1 x 6<br />

<br />

B x : xis a natural number and 6 x 10<br />

(v)<br />

A<br />

<br />

Solution 1:<br />

(i)<br />

X<br />

(ii)<br />

X<br />

Y<br />

<br />

<br />

1,2,3 , B <br />

1,3,5 Y<br />

1, 2,3<br />

<br />

<br />

1,2,3,5<br />

<br />

, , , , , , <br />

A a e i o u B a b c<br />

<br />

AB a, b, c, e, i, o,<br />

u<br />

<br />

(iii) A x : x is a natural number and multipleof 3 3,6,9...<br />

<br />

As B x : x is a natural number less than 6 1, 2,3, 4,5,6<br />

AB<br />

<br />

<br />

1, 2, 4,5,3,6,9,12...<br />

<br />

A B x : x 1, 2, 4,5 or a multipleof 3<br />

(iv)<br />

<br />

<br />

A x : xis a natural number and1 x 6 2,3,4,5,6<br />

: is a natural number and 6 10 7,8,9<br />

B x x x <br />

AB<br />

<br />

<br />

2,3, 4,5,6,7,8,9<br />

<br />

A B x : x N and1 x 10<br />

(v)<br />

A<br />

<br />

<br />

1, 2,3 , B <br />

<br />

AB<br />

1, 2,3<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

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