State whether true or false.
(vii) If $M$ is the set of letters used in the word $^{'} M U M B A I^{'}$ ; then

$M = M, U, B, A, I$

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Solution

The different letters of the word $^{'} M U M B A I^{'}$ are $M, U, B, A, I$
which are all present in set $M = {M, U, B, A, I}$

Hence, the given statement is true.

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Similar questions

Let M = ${l e t t e r s o f t h e w o r d R E A L}$ and N= ${l e t t e r s o f t h e w o r d L A R E}$ . Write sets M and N in roster form and then state whether;

(i) $M \subseteq N i s t r u e$

(ii) $N \subseteq M i s t r u e$

(iii) M=N is true

State whether each of the following statement are true or false. If the statement is false, rewrite the given statement correctly.

(i) If P = {m, n} and Q = {n, m}, then P × Q = {(m, n), (n, m)}.

(ii) If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such that x ∈ A and y ∈ B.

(iii) If A = {1, 2}, B = {3, 4}, then A × (B ∩ Φ) = Φ.

Q. State whether each of the following statements are true or false. If the statements is false, re-write the given statements correctly:

(i) If P = {m, n} and Q = {n, m}, then P × Q = {(m, n), (n, m)}
(ii) If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such that x ∈ B and y ∈ A.
(iii) If A = {1, 2}, B = {3, 4}, then A × (B ∩ ϕ) = ϕ.

Q. State whether true or false.
(vi) If

P

is the set of letters in the word

^{'} R O O P^{'}

; then

P = {P, O, R}

Q. State whether true or false.
Collection of vowels used in the word ‘ALLAHABAD’ forms a set

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State whether true or false.​ (vii) If M is the set of letters used in the word ′MUMBAI′; then ​ M=M,U,B,A,I

The different letters of the word ′MUMBAI′ are M,U,B,A,I which are all present in set M={M,U,B,A,I} Hence, the given statement is true.​

State whether true or false.
(vii) If $M$ is the set of letters used in the word $^{'} M U M B A I^{'}$ ; then

$M = M, U, B, A, I$

The different letters of the word $^{'} M U M B A I^{'}$ are $M, U, B, A, I$
which are all present in set $M = {M, U, B, A, I}$

Hence, the given statement is true.