Give the smallest equivalence relation r on a containing the pairs (a, c), (a, e), and (b, d) (i. e., the equivalence relation r containing the given pairs with the fewest number of elements). what are the equivalence classes of your relation r from part i? let s be the relation on the set of integers such that xsy if and only if x2 ≡2 y2. in other words, s = { (x, y) ∈ z × z | x2 ≡2 y2 }. show that s is an equivalence relation. what are the equivalence classes of s?

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

what are the statments

step-by-step explanation:

the answers are

1. 2

2. 5

3. symmetrical

should be c. 3: 10