Question

ls no. 1 sets of algebra
practice set 1.1
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Answer 1

Answer:

(1)

(i) Let, the set be 'A'

⇒A = { 2, 4, 6, 8, 10, ...}

(ii) Let, the set be 'B'

⇒B = { 2 }

(iii) Let, the set be 'S'

⇒S = {–1, –2, –3, –4, ... }

(iv) Let, the set be 'R'

⇒R = { Sa, Re Ga, Ma, Pa, Dha, Ni}

or R={ Do, Re, Mi, Fa, So, Le, Ti}

(2)

(i) The number, "4/3" belongs to the set ',Q'(The set of all Rational numbers)

(ii) The set of all p's such that p is an odd number.

(3)

Listing Method

The set of all outcomes of a dice 'D'

D={1,2,3,4,5,6}

The set of all Integers 'Z'

Z = {...–4, –3,–2,–1, 0, 1, 2, 3, 4...}

Rule Method

The set of all outcomes of a dice 'D'

D= { x : 6 ≥ x > 0, x ∈ N }

The set of all Integers 'Z'

Z = { x : x ∈ (−∞, ∞), where x = p/q; q=1}

(4)

(i) Let, the set be 'S'

⇒S = {Chaitra, Vaisakha, Jyaistha, Asadha, Shravana, Bhadra, Ashvin, Kartik, Agrahayana, Pausha, Magha, Phalgun}

(ii) Let, the set be 'I'

⇒I = {C, O, M, P, L, E, N,T}

(iii) Let, the set be 'R'

⇒R={Tongue, Skin, Ear, Nose, Eyes}

(iv) Let, the set be 'X'

⇒X={2,3,5,7,11,13,17,19}

(v) Let, the set be 'Z'

⇒Z={Asia, Africa, Europe, South America, North America, Australia, Antarctica}

(5)

(i) A = { x : 0<x²<100 }

(ii) B = { x : nx; n ∈ Z, 1≤n≤8 }

(iii) C = {x : x is a letter from "SMILE"}

(iv) D = {x : x are days of the week}

(v) X = { x : x = a, e, t}