Math Help - Countability problem

1. 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 .

2. 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!