volume_mute
Subset of a set
publish date: 2022/07/04 05:47:00 GMT+10
volume_muteGiven A = {1, 2, 3, 4, 5}, B = {1, 2, 3}, C = {2, 3, 1}, D = {6, 7, 8}. Mark true or false for the following
- A ⊆ B
- B ⊆ A
- C ⊆ B
- B ⊆ C
- D ⊈ A
Please drag and drop the selected option in the right place or type it instead
True
False
Correct Answer
(1) False
(2) True
(3) True
(4) True
(5) True
Explanation
If two sets A and B are such that every element of A is also an element of set B, then A is called a subset of B. Thus, set A is a subset of B if
x ∊ A ⇒ x ∊ B (Here, the symbol ⇒ stands for implies that)
Symbolically, we write this relationship as A ⊆ B and read as A is a subset of B or A is contained in B.
If set A is not a subset of set B, we write A ⊈ B
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012