Suppose you have a relation v(N, W) that is true if there is a vowel

(one o:

a, e, i, o, u) as the N-th letter of word W. For example, v(2, cat) is true because there is a vowel (“a”) as the second letter of the word “cat”; v(3, cat) is false because the third letter of “cat” is “t”, which is not a vowel; and v(5, cat) is also false because there is no fifth letter in “cat”.

Suppose the domain of N is {1, 3, 5} and the domain of W is {added, blue, fever, green, stare}.

(a) Is the arc N, v arc consistent? If so, explain why. If not, show what element(s) can be removed from a domain to make it arc consistent.

(b) Is the arc W, v arc consistent? If so, explain why. If not, show what element(s) can be removed from a domain to make it arc consistent.