Exercise No.3 1. Write the elements of the following sets using the set rooster notation. 1. 𝐷 = {𝑥 ∈ 𝑍 ∣ −1 < x < 3} 2. 𝐸 = { 𝑥 ∈ 𝑍 + ∣ −1 < 𝑥 < 3 } 3. 𝑉 = { 𝑠 ∈ 𝑍 ∣∣ 𝑠 > 2 𝑜𝑟 𝑠 < 3 } 4. 𝐴 = {𝑥 ∊ 𝑍 − ∣ −5 < 𝑥 < 5} 5. 𝑁 = { 𝑛 ∊ 𝑍 ∣∣ 𝑛 𝑖𝑠 𝑎 𝑓𝑎𝑐𝑡𝑜𝑟 𝑜𝑓 6 } 6. 𝑁 = {𝑛 ∊ 𝑍 + ∣ 𝑛 𝑖𝑠 𝑎 𝑓𝑎𝑐𝑡𝑜𝑟 𝑜𝑓 6} 7. A = { x | x ∈ N, x is even, and x < 15} 2. Write the following using set builder notation. Use x to represent the elements in a set. 1. M = {-4, -3, -2, -1, 0, 1, 2} 2. P = {13, 17, 19} 3. Let A = {2, 3, 4} and B = {6, 8, 10} and define a relation R from A to B as follows: For all (x, y)∊ A x B, 𝑦 (x, y) ∊ R means that 𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 (𝑔𝑖𝑣𝑒𝑛 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛) a. b. c. d. e. f. Write the ordered pairs of A x B Is 4R6? Is 4R8? Is 2R6? Is (3, 8)∊ R? Is (2, 10) ∊ R?