Question

Write the sets in set builder form. $A=\{1,4,9,16,25\},B=\{1,8,27,64,125\}$

Answer 1

Step 1: Find the set builder forms of set $A$:

The set builder section includes all the set's elements, each of which must have a single attribute to be a member of that set.

$A=\{1,4,9,16,25\}$

Here $1,4,9,16,and25$ are squares of natural numbers up to $5$.

$A=\{1,4,9,16,25\}=\{x:x=n^2,n\in Nand1\le n\le 5\}$

Step 2: Find the set builder forms of set $B$:

$B=\{1,8,27,64,125\}$

Here $1,8,27,64,and125$are cubes of natural numbers up to $5$.

$B=\{1,8,27,64,125\}=\{x:x=n^3,n\in Nand1\le n\le 5\}$

Hence, set $A$ has squares of natural numbers up to $5$, and set $B$ has cubes of natural numbers up to $5$.