Question

p= {x:x=3n+2,belongs belongs to W and x<15} find the cardinal number of the set

Answer 1

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Answer 2

"To determine: The "cardinal number" of the set p

Given Data:

p = {x:x = 3n + 2,belongs belongs to W and x<15}

Formulas to be used:

Cardinal number of any finite set is the number of the unique elements in the set.

Calculation:

Given that n belongs to W. So, n is a whole number.

So if n=0, x = 3(0) + 2 =2

If n=1, x = 3(1) + 2 = 5

If n=2, x = 3(2) + 2 = 8

If n=3, x = 3(3) + 2 = 11

If n=4, x = 3(4) + 2 =14

As x<15, the set will contain 5 elements which are 2, 5, 8, 11, 14.

Hence, the "cardinal number" of the set is 5."