Write the following intervals in set-builder form:

(i) (–3, 0)

(ii) [6, 12]

(iii) (6, 12]

(iv) [–23, 5)

Asked by Pragya Singh | 11 months ago |  60

1 Answer

Solution :-

(i) (–3, 0) 

To write the above interval in set builder form The set of real numbers \(\{y : a < y< b\}\) is called an open interval and is denoted by (a,b) . The interval which contains the end points also is called close interval and is denoted by \( [a,b]\)

(–3, 0)  = {x∈ R, –3 < x < 0}

 

(ii) [6, 12] 

 

To write the above interval in set builder form The set of real numbers \(\{y : a < y< b\}\) is called an open interval and is denoted by (a,b) . The interval which contains the end points also is called close interval and is denoted by \( [a,b]\)

[6, 12]  = {x∈ R, 6 ≤ x ≤ 12}

 

(iii) (6, 12] 

 

To write the above interval in set builder form The set of real numbers \(\{y : a < y< b\}\) is called an open interval and is denoted by (a,b) .The interval which contains the end points also is called close interval and is denoted by \( [a,b]\)

(6, 12]  ={x∈ R, 6 < x ≤ 12}

 

(iv) [–23, 5) 

To write the above interval in set builder form The set of real numbers \(\{y : a < y< b\}\) is called an open interval and is denoted by (a,b) .The interval which contains the end points also is called close interval and is denoted by \( [a,b]\)

[–23, 5)  = {x∈ R, –23 ≤ x < 5}

Answered by Abhisek | 11 months ago

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