Question

Express the Sets of all integers whose square is less than 64 in Roster​

Answer 1

Answer:

1. The set of positive integers is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …

(Some people would also include 0.)

2. The squares of those are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, … (and possibly also 0).

3. Clearly, from the limited list, only 1, 2, 3, 4, 5 (and 0) have squares less than 30.

4. Since all other positive integers are larger, and “taking squares” in a monotonously increasing function, those must be the only positive integers whose squares are less than 30.

Answer 2

Answer:

Roster form: 0,1,2,3,4,5,6and 7

Rule form-{x:x€Z,x²<64