Question

If A = {x: x is a letter in the word “MATHEMATICS”}, B = {y ∶ y is a letter in the word “STATISTICS”}, then write (a) A and B in roster form (b) A − B (c) A ∩ B​

Answer 1

Answer:

Sorry But I can Help you tomorrow coz I have no copy to calculate

Answer 2

Answer:

The correct answers for the given problems are as follows:

(a) A = {M,A,T,H,E,I,C,S}  and B = {S,T,A,I,C}

(b) A-B = {M,H,E}

(c) A ∩ B = {S,T,A,I,C}

Step-by-step explanation:

The given definition of set A is given as follows:

A = {x: x is a letter in the word “MATHEMATICS”}

The set A following this given definition would be: A = {M,A,T,H,E,I,C,S}

Similarly, the definition of set B given to us is as follows:

B = {y ∶ y is a letter in the word “STATISTICS”}

The set B following this given definition would be: B = {S,T,A,I,C}

Now for (a) the roster forms of set A and B are found to be:

A = {M,A,T,H,E,I,C,S}  and B = {S,T,A,I,C}

For (b), the subtraction of two sets A-B will be the set formed by eliminating the elements of set B from the elements of set A,

Thus:

A-B = {M,A,T,H,E,I,C,S} - {S,T,A,I,C}

or we can say:

A-B = {M,H,E}

For (c), we have to find the intersection between the two sets, i.e., the common elements between the two sets, so:

$A\cap B=\{M,A,T,H,E,I,C,S\} \cap \{S,T,A,I,C\}$

or we can say:

A ∩ B = {S,T,A,I,C}