If A, B, C, D are the different sets as given below
A= {3,6,12,15,18,21}, B= {4,8,12,16,20}, C= {2,4,6,8,10,12,14,16} and D= {5,10,15,20}
Find: A-D
Answer
684.3k+ views
Hint: Proceed the solution by using the condition that the difference of two sets, written A - B is the set of all elements of A that are not elements of B.
Complete step-by-step answer:
In order to solve this problem, let us take a simple example of subtraction, which is 5 - 2 = 3. It would be demonstrated by starting with five objects, removing two of them and then counting it will remain 3.
As we find the difference between two numbers, in a similar way, we can find the difference of two sets.
In our question it is given that the sets A= {3,6,12,15,18,21} and D = {5,10,15,20}.
To find the difference A - D of these two sets, we can begin by writing all of the elements of A, and then take away every element of A that is also present in set D. Since A shares only elements 15 with D, this gives us the set difference A - D = {3,6,12,18,21}.
Note: Whenever we come up with such types of questions we should remember that just as the differences 4 - 7 and 7 - 4 give us different answers, similarly we need to be careful about the order in which we compute the set difference. In other words, we can say the set operation of difference is not commutative. We can more precisely state that for all sets A and B, A - B is not equal to B - A.
Complete step-by-step answer:
In order to solve this problem, let us take a simple example of subtraction, which is 5 - 2 = 3. It would be demonstrated by starting with five objects, removing two of them and then counting it will remain 3.
As we find the difference between two numbers, in a similar way, we can find the difference of two sets.
In our question it is given that the sets A= {3,6,12,15,18,21} and D = {5,10,15,20}.
To find the difference A - D of these two sets, we can begin by writing all of the elements of A, and then take away every element of A that is also present in set D. Since A shares only elements 15 with D, this gives us the set difference A - D = {3,6,12,18,21}.
Note: Whenever we come up with such types of questions we should remember that just as the differences 4 - 7 and 7 - 4 give us different answers, similarly we need to be careful about the order in which we compute the set difference. In other words, we can say the set operation of difference is not commutative. We can more precisely state that for all sets A and B, A - B is not equal to B - A.
Recently Updated Pages
Difference Between Prokaryotic Cells and Eukaryotic Cells

If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

