# decreased

1. ### One number is four more than five times another. If their sum is decreased by six....

One number is four more than five times another. If their sum is decreased by six, the result is ten. Find the numbers. I tried to write the equation from reading this. Is this anywhere near close? x+4+5x-6=10 Thanks.
2. ### Any base of the canonical topology in R can be decreased

THEOREM. Any base of the canonical topology in R can be decreased. PROOF. Let R be the canonical topology. Let \Sigma be the interval (a, b) such that a<b \forall a, b \in R. Then \Sigma =(a, b) is a base of R. Let a+n \in \Sigma such that n<b. Then (a, a+n) \subset (a, b). We know that...