The sets A = {b, c, d, e} and B = {x: x is a letter in the word "master"} are joint
Question
The sets A = {b, c, d, e} and B = {x: x is a letter in the word "master"} are joint
Solution
To determine if the sets A = {b, c, d, e} and B = {x: x is a letter in the word "master"} are joint, we need to check if they have any elements in common.
- Set A contains the elements b, c, d, and e.
- Set B is defined as the set of letters in the word "master". The letters in "master" are m, a, s, t, e, and r.
To check if the sets are joint, we compare the elements in set A with the elements in set B.
- Comparing b with the letters in "master": There is no letter "b" in "master".
- Comparing c with the letters in "master": There is no letter "c" in "master".
- Comparing d with the letters in "master": There is no letter "d" in "master".
- Comparing e with the letters in "master": There is the letter "e" in "master".
Since there is at least one element (the letter "e") that is common to both sets A and B, we can conclude that the sets A = {b, c, d, e} and B = {x: x is a letter in the word "master"} are joint.
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