Question

{x belongs to z:x is even and less than 10} is it finite or infinite?

Answer 1

the answer is infinite

Answer 2

Answer:

The proof  is explained step-wise below :

Step-by-step explanation:

Let the given set is A : {x belongs to z : x is even and less than 10}

This is set builder form of the given set

First find the roaster form of the set to get the actual interval of the set between which the set values lies.

⇒ A = {......,-6, -2, 0, 2, 4, 6, 8}

The upper limit is specified that the x is less than 10 but the lower limit is not specified.

So, it is bounded above but not bounded below.

Hence, we can conclude that the given set is infinite.