1) The set K = { -1, 0, 1, 2} can be written in set builder notation as  a) {𝑥 : −1 ≤ 𝑥 ≤ 2} b) {𝑥 : −1 < 𝑥 < 2} c) {𝑥 : −1 ≤ 𝑥 < 2} d) {𝑥 : −1 < 𝑥 ≤ 2} 2) Given that W = {-4, -3, -2, -1, 0, 1, 2...}, which of the following expresses W in set builder notation? a) W = {𝑥 : 𝑥 ≤ −4, 𝑥𝜖𝑁}  b) W = {𝑥 : −4 < 𝑥 < 2, 𝑥𝜖𝑍} c) W = {𝑥 : 𝑥 ≥ −4, 𝑥𝜖𝑍} d) W = {𝑥 : 𝑥 > −4, 𝑥𝜖𝑍} 3) Given that S = {x: 3 ≤ x ≤ 8, x∊N}, which of the following represents set S? a) {4, 5, 6, 7} b) {3, 4, 5, 6, 7, 8}  c) {4, 5, 6, 7, 8, 9} d) {3, 4, 5, 6, 7} 4) 'All the natural numbers greater than negative three' which of the following is the best representation of the sentence above? a) −3 < 𝑥 b) {𝑥 : 𝑥 > −3, 𝑥𝜖𝑁} c) {−2,−1, 0, 1, …} d) {0, 2, 4, 6, …} 5) Given that the elements of set T are integers greater than -12 and less than 5. What is the set builder notation of T? a) T = {x: 5 < x < -12, x ∈ N}  b) T = {x: 5 > x < -12, x ∈ Z}  c) T = {x: -12 > x < 5, x ∈ N} d) T = {x: -12 < x < 5, x ∈ Z} 6) Given that set H = {𝑥 : -5 ≤ 𝑥 ≤ 0, 𝑥𝜖Z},list H a) {-5, -4, -3, -2, -1, 0} b) {-4, -3, -2, -1, 0} c) {-5, -4, -3, -2, -1} d) {-4, -3, -2, -1} 7) Given that set G = {𝑥 : 10 ≤ 𝑥 ≤ 20, 𝑥𝜖𝑁}, if set D = {prime numbers in G}. List set D.  a) {12, 14, 16, 18} b) {11, 13, 17, 19} c) {11, 13, 15, 17,19} d) {11, 12, 13, 15,17}

Set builder notation - Interpret the set builder notation

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