Mathematics
Let M = {letters of the word REAL} and N = {letters of the word LARE}. Write sets M and N in roster form and then state whether;
(i) M ⊆ N is true.
(ii) N ⊆ M is true.
(iii) M = N is true.
Sets
3 Likes
Answer
M = {letters of the word REAL}
M = {R, E, A, L}
N = {letters of the word LARE}
N = {L, A, R, E}
(i) True
Reason
Every elements in set M is also in set N.
(ii) True
Reason
Every elements in set N is also in set M.
(iii) True
Reason
Both sets contain the same elements.
Answered By
2 Likes
Related Questions
Given, universal set = {x : x ∈ N, 10 ≤ x ≤ 35}, A = {x ∈ N : x ≤ 16} and B = {x : x > 29}. Find:
(i) A'
(ii) B'
Given, universal set = {x ∈ Z : - 6 < x ≤ 6}, N = {n : n is a non-negative number} and P = {x : x is a non-positive number}. Find :
(i) N'
(ii) P'
Given A = {x : x ∈ N and 3 < x ≤ 6} and B = {x : x ∈ W and x < 4}. Find :
(i) sets A and B in roster form
(ii) A ∪ B
(iii) A ∩ B
(iv) A - B
(v) B - A
If P = {x : x ∈ W and 4 ≤ x ≤ 8} and Q = {x : x ∈ N and x < 6}. Find
(i) P ∪ Q and P ∩ Q.
(ii) Is (P ∪ Q) ⊃ (P ∩ Q) ?