Question

Use set builder notation to give a description of each of these sets.

a.{0, 3, 6, 9, 12}
b.{−3, −2, −1, 0, 1, 2, 3}
c.{m, n, o, p}

Answer 1

A
These are multiples of 3 so 3x where x is a natural number from 0 to 4. In set builder notation we get 3x
By c I mean the symbol for “is an element of” which looks like a drawn out rounded upper case E. By <= I mean less than or equal to

B
These are integers from -3 to 3. That is {x| x c Z, -4 < x < 4

C
Here we have letter from the English alphabet from m to p.
x