Find the cardinal number for the following sets. A​ =​ {114​,115​,116​,117​,...,146​} B​ = ​{114​,116​,118​, ​...,214​}

Question

Some help?

Answer 1

The cardinal number is the number of distinct elements in a set. For consecutive integers, it's largest - smallest + 1.

 

146 - 114 + 1 = 33

 

Since you have every other in B, it would be (largest - smallest)/2 + 1.

 

(214 - 114)/2 + 1 = 51

 

Why the plus 1? Because you have to count the very first element, as well.