Write the following intervals in set-builder form:
$(i) (- 3, 0) (i i) [6, 12]$
$(i i i) (6, 12] (i v) [- 23, 5)$

Open in App

Solution

$(i)$ Given: $(- 3, 0)$
In set-builder form,
$(- 3, 0) = {x : x \in R, - 3 < x < 0}$

$(i i)$ Given: $[6, 12]$
In set-builder form,
$[6, 12] = {x : x \in R, 6 \leq x \leq 12}$

$(i i i)$ Given: $(6, 12]$
In set-builder form,
$(6, 12] = {x : x \in R, 6 < x \leq 12}$

$(i v)$ Given: $[- 23, 5)$
In set-builder form,
$[- 23, 5) = {x : x \in R, - 23 \leq x < 5}$

Suggest Corrections

Similar questions

Write the following intervals in set-builder form :

(i) (-3, 0) (ii) [6, 12]

(iii) [-23, 5]

(6, 12)

(- 7, 5), [- 6, 12], (3, 7], [- 16, 6)

Write the following sets in the set-builder form:

(i) (3, 6, 9, 12) (ii) {2, 4, 8, 16, 32}

(iii) {5, 25, 125, 625} (iv) {2, 4, 6 …}

(v) {1, 4, 9 … 100}

Write each of the following intervals in the set-builder from:
(i) A=(2,5)

(ii) B=[-4,7]

(iii) C=[-8,0)

(iv) D= (5,9]

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program