Given- universal set - x-x-N-10-x-35 A- x-N-x-16 -and B- x-x-29 -Find- iA-iiB-

Universal Set = { x:x ∈ N, 10 ≤ x ≤ 35 } ={ 10,11,12,13,14,15,......,34,35} A={ x ∈ N, x ≤ 16 } ={ 10,11,12,13,14,15,16,......} B={ x:x gt;29 } ={ 30,31,32,3 ...

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Standard VIII

Mathematics

Universal Set

Given, univer...

Question

Given, universal set = ${x : x \in N, 10 \leq x \leq 35} A = {x \in N : x \leq 16} a n d B = {x : x > 29} F i n d : (i) A^{'} (i i) B^{'}$

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Solution

Universal Set = ${x : x \in N, 10 \leq x \leq 35}$ = ${10, 11, 12, 13, 14, 15, . . . . . ., 34, 35}$ A= ${x \in N, x \leq 16}$ = ${10, 11, 12, 13, 14, 15, 16, . . . . . .}$ $B = {x : x > 29} = {30, 31, 32, 33, 34, 35} (i) A^{‘} = {17, 18, 19, 20, 21, 22, . . . . . . .33, 34, 35} A n s . = {x : x \in N; 17 \leq x l e q 35} (i i) B^{‘} = {10, 11, 12, 13, 14, 15, . . . . . . . ., 29} = {x : x \leq 29}$ Ans.

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Given, universal set = {x:x ∈ N, 10 ≤ x ≤ 35}A={x ∈ N:x ≤ 16} andB={x:x>29} Find:(i)A′(ii)B′

Universal Set = {x:x ∈ N, 10 ≤ x ≤ 35} ={10,11,12,13,14,15,......,34,35} A={x ∈ N, x ≤ 16} ={10,11,12,13,14,15,16,......} B={x:x>29}={30,31,32,33,34,35}(i)A‘={17,18,19,20,21,22,.......33,34,35}Ans.={x:x ∈N;17≤x leq35}(ii)B‘={10,11,12,13,14,15,........,29}={x:x ≤ 29}Ans.

Given, universal set = ${x : x \in N, 10 \leq x \leq 35} A = {x \in N : x \leq 16} a n d B = {x : x > 29} F i n d : (i) A^{'} (i i) B^{'}$