Write the following as intervals

(i) Given that,

{x: x ∈ R, –4 < x ≤ 6} 

To write the above expression as intervals 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 \( [a,b]\)

{x: x ∈ R, –4 < x ≤ 6}  = (–4, 6]

(ii) Given that,

{x: x ∈ R, –12 < x < –10} = (–12, –10)

To write the above expression as intervals 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 \( [a,b]\)

(iii) Given that,

{x: x ∈ R, 0 ≤ x < 7} 

To write the above expression as intervals 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 \( [a,b]\)

{x: x ∈ R, 0 ≤ x < 7}  = [0, 7)

(iv) Given that,

{x: x ∈ R, 3 ≤ x ≤ 4} 

To write the above expression as intervals 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 \( [a,b]\)

{x: x ∈ R, 3 ≤ x ≤ 4}  = [3, 4]