Question

Question 7 Write the following intervals in set-builder form:

(i) (–3, 0)

(ii) [6, 12]

(iii) (6, 12]

(iv) [–23, 5)

Class XI - Sets Page 13

Answer 1

1) {x:x€R , 3<x<0}
2) {x:x€R ,6≤x≤12}
3){x:x€R ,6<x≤12}
4)){x:x€R ,-23≤x<5}

Answer 2

Step-by-step explanation:

In this question,

We need to write the following intervals in Set- Builder form

Set-Builder form is a short hand to write sets with infinite number of elements.

1) (-3,0) = Set-Builder form is  {x:x€R , 3<x<0}

2) [6,12] = Set-Builder form is {x:x€R ,6≤x≤12}

3) (6,12] = Set-Builder form is {x:x€R ,6<x≤12}

4)[-23,5) = Set-Builder form is {x:x€R ,-23≤x<5}