Question

write the following sets in setbuilder form.
A = {0,1,2,3,4,5,6} B=(3,6,9,12}
c = {3,6,9,12] id) D= {2,4,8,16,32]​

Answer 1

Answer:

13

Step-by-step explanation:

Answer 2

Answer:

(i) {3,6,9,12}

={x:x=3n,nϵN and 1≤n≤4}

Alternatively, {x:x is a multiple of 3 and x≤12}

(ii) {2,4,8,16,32}

It can be seen that 2=2

1

,4=2

2

,8=2

3

,16=2

4

, and 32=2

5

.

∴{2,4,8,16,32}={x:x=2

n

,nϵN and 1≤n≤5}

(iii) {5,25,125,625}

It can be seen that 5=5

1

,25=5

2

,125=5

3

, and 625=5

4

.

∴{5,25,125,625}={x:x=5

n

,nϵN and 1≤n≤4}

(iv) {2,4,6,....}

It is a set of all even natural numbers.

∴{2,4,6,....}={x:x is an even natural number}

(v) {1,4,9,.....100}

∴{1,4,9...100}={x:x=n

2

,nϵN and 1≤n≤10}

Alternatively, {x:x is a square of natural number and x≤100

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