Question

If X = Set of prime numbers less than or equal to 17 and Y = Set of first 12 natural numbers, then find the following: a. X U Y (union) b. Y U X (union) c. X N Y (intersection) d. Y N X (intersection)

Answer 1

Answer:

given: set X = x ∈ prime numbers ≤ 17

set Y = y ∈ N first 12 natural numbers

to find X U Y , Y U X, X ∩ Y and Y ∩ X

Step-by-step explanation:

X = { 2, 3, 5, 7, 11, 13, 17 }

Y = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 }

(1) X U Y = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17 }

(2) Y U X = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17 }

(3) X ∩ Y = { 2, 3, 5, 7, 11 }

(4) Y ∩ X = { 2, 3, 5, 7, 11 }