Answer:
Countably infinite.
Step-by-step explanation:
We are given that set of rational numbers =Q and [-5,5]
We have to find that [tex]Q\cap [-5,5] is infinitely countable, finite and infinitely uncountable.
We know that set of rational numbers is infinitely countable .
In interval [-5,5], there are many rational numbers .
-5,-4.9,-4.8,4.7,4.6,4.5,4.4,4.3,4.2,4.1,4,.......-3,-1,.............,4.9,5.
There are countably infinite rational numbers between -5 and 5.
We know that when two sets one is countably infinite and other is uncountable and then intersection may be finite or countable infinite.
Q is countably infinite and [-5,5] is uncountable set .But intersection of Q and [-5,5] is countably infinite.
