Thread: Countability problem

For each x ∈ we are given an interval with >= 0. Moreover, for each ∈ with ∈, we have if is not equal to . Show that for uncountably many .

Originally Posted by Pythagorean12

For each x ∈ we are given an interval with >= 0. Moreover, for each ∈ with ∈, we have if is not equal to . Show that for uncountably many .

What have you tried?!!? Show some work man!