Question

W = ≤ 6|W| = IDetermine the Cardinal Number

Answer 1

Given:

`W=\lbrace t|t\in Z,t\text{ is odd, and \mid t\mid}\leq6\rbrace`

Required:

We need to find |W|.

Step-by-step explanation:

We need to find the number of terms in the given set W.

We know that Z is the set of integers.

`|t|\leq6\text{ means the absoluate values of the intergers less than or equal to 6,}`
`|-6,-5,-4,-2,-1,0,1,2,3,4,5,6|\text{ }\leq6`

Select the odd numbers.

`W=\lbrace-5,-3,-1,1,3,5\rbrace`
`|W|=6`

FInal answer