Write the following intervals in set-builder form: (i) (– 3, 0) (ii) [6, 12] (iii) (6, 12] (iv) [–23, 5)

Question

Philoid · Accepted Answer

(i) Here, the given interval = (-3, 0)

Now, set builder form of the given interval can be written as follows:

={x:x ϵ R, -3

(ii) Here, the given interval = [6, 12]

Now, set builder form of the given interval can be written as follows:

={x:x ϵR, 6≤x≤12}

(iii) Here, the given interval = (6, 12]

Now, set builder form of the given interval can be written as follows:

={x:x ϵR, 6

(iv) Here, the given interval = [-23, 5)

Now, set builder form of the given interval can be written as follows:

={x:x ϵR, -12≤x<5}