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CLASS_11_MATHS_SOLUTIONS_NCERT

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Class XI Chapter 1 – Sets Maths<br />

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Question 6:<br />

Write the following as intervals:<br />

x : x R, 4 x 6<br />

(i) <br />

x : x R, 12 x 10<br />

(ii) <br />

x : x R,0 x 7<br />

(iii) <br />

(iv) x : x R,3 x 4<br />

Solution 6:<br />

x : x R, 4 x 6 ( 4,6]<br />

(i) <br />

(ii) <br />

<br />

x : x R, 12 x 10 12, 10<br />

x : x R, 0 x 7 [0,7)<br />

(iii) <br />

x : x R, 3 x 4 [3, 4]<br />

(iv) <br />

Question 7:<br />

Write the following intervals in set-builder form:<br />

(i) <br />

3,0<br />

6,12<br />

(ii) <br />

(iii) (6,12]<br />

(iv) [ 23,5)<br />

Solution 7:<br />

(i) <br />

(ii) <br />

(iii)<br />

(iv)<br />

3,0 x : x R, 3 x 0<br />

6,12 x : x R,6 x 12<br />

<br />

(6,12] x : x R,6 x 12<br />

<br />

[ 23,5) x : x R, 23 x 5<br />

<br />

<br />

Question 8:<br />

What universal set (s) would you propose for each of the following:<br />

(i) The set of right triangles<br />

(ii) The set of isosceles triangles<br />

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