Question

State the following sets are finite or infinite:

A = {x : x ∈ Z and x < 10}

Answer 1

A = {x : x ∈ Z and x < 10}

= {....., -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

= {9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, .....}

∴ It is an infinite set.