Determine whether the set of numbers that satisfies the cond

Determine whether the set of numbers that satisfies the condition x<5 or x>0 is countable or uncountable.

Solution

We are given conditions

x<5 or x>0

x>5 :

x=6,7,8,9,10,................infinite terms

x<0:

x=-1,-2,-3,-4,...............infinite terms

we are given x<5 or x>0

so, x=infinite terms ...........-4,-3,-2,-1,6,7,8,9.........infinite terms

There are infinite terms in it

So, it is uncoutable ...........Answer