Question 12 Mark all the true statements. If is a real number then-n is always negative. There can be at most one 1-1 correspondence between two sets. Every rational number has a repeating or terminating decimal representation DIf two sets are equivalent, then they must also be equal Between any two real numbers there is an irrational number. A fraction has a terminating decimal expansion then its denominator must have only factor of and 04.12-4 70

Use a proof by contradiction to show that the difference of any rational number and any irrational number is irrational.

Help me

Prove the 8 divisibility test for ANY number. This should be a mathematical proof, not a word or paragraph proof.    DO NOT write a proof that is for just a four-digit number or a five-digit number.  If you do that then you are not proving it for ANY number.  You must prove it for ANY number by proving that 8 | (10n-1an-1 + 10n-2an-2 + 10n-3an-3 + … + 100a2 + 10a1 + a0).   without modular