Sets, Relations and Functions

Concept:The set of cubes of natural numbers is infinite because natural numbers are infinite and each has a unique cube.Explanation:Natural numbers are $\{1, 2, 3, \dots\}$, which is an infinite set.Their cubes are $1^3=1$, $2^3=8$, $3^3=27$, $4^3=64$, and so on.Each natural number gives a distinct cube, so the set of cubes also has infinitely many elements.Therefore, it is an infinite set.Answer:An infinite set