Are Pairs Sufficient for a Clear Ordering?

Create a function that returns true if an array of pairs are sufficient for a clear ordering of all items.

To illustrate:

clearOrdering([["D", "A"], ["C", "B"], ["A", "C"]]) ➞ true
// Since unequivocally: "D" < "A" < "C" < "B"

On the other hand:

clearOrdering([["D", "A"], ["B", "A"], ["C", "D"]]) ➞ false
// Since we know that "C" < "D" < "A", and we know "B" < "A"
// but we don't know anything about "B"s relationship with "C" or "D".

Examples

clearOrdering([["S", "T"], ["T", "U"], ["U", "V"]]) ➞ true

clearOrdering([["T", "S"], ["T", "U"], ["U", "V"], ["V", "W"]]) ➞ false

Notes

See Comments for a good visualization of the question.