NCERT Class XI Mathematics - Sets - Solutions
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Question : 18
Total: 73
Write the following as intervals :
(i) {x : x ∈ R, – 4 < x ≤ 6}
(ii) {x : x ∈ R, – 12 < x < –10}
(iii) {x : x ∈ R, 0 ≤ x < 7}
(iv) {x : x ∈ R, 3 ≤ x ≤ 4}
(i) {x : x ∈ R, – 4 < x ≤ 6}
(ii) {x : x ∈ R, – 12 < x < –10}
(iii) {x : x ∈ R, 0 ≤ x < 7}
(iv) {x : x ∈ R, 3 ≤ x ≤ 4}
Solution:
(i) Let A = {x: x ∈ R, –4 < x ≤ 6}
It can be written in the form of interval as (–4, 6].
(ii) Let A ={x: x ∈ R, –12 < x < –10}
It can be written in the form of interval as (–12, –10).
(iii) Let A = {x: x ∈ R, 0 ≤ x < 7}
It can be written in the form of interval as [0, 7).
(iv) Let A = {x: x ∈ R, 3 ≤ x ≤ 4}
It can be written in the form of interval as [3, 4].
It can be written in the form of interval as (–4, 6].
(ii) Let A ={x: x ∈ R, –12 < x < –10}
It can be written in the form of interval as (–12, –10).
(iii) Let A = {x: x ∈ R, 0 ≤ x < 7}
It can be written in the form of interval as [0, 7).
(iv) Let A = {x: x ∈ R, 3 ≤ x ≤ 4}
It can be written in the form of interval as [3, 4].
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