Write the following as intervals : (i) {x : ...

NCERT Class XI Mathematics - Sets - Solutions

Question : 18 of 73

Marks: +1, -0

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}

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].

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