Is q⋂[-5, 5] infinitely countable, finite or infinitely uncountable?

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.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: