Question

9. Which of the following statement is false
(a) A-B=A intersect B1
(b) A-B=A-(A intersect B)
(c) A-B=A-B1
(d) A-B=(AUB)-B​

Answer 1

Answer:

A-B =A-(A intersect B)

Step-by-step explanation:

this is the answer

Answer 2

Concept:

The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.

The set that contains every element of the supplied sets is the union of two or more sets. The symbol "∪" can be used to represent a union of sets. Assume that X ∪Y can be used to represent the union of two sets, X and Y.

Given:

(a) A-B=A ∩ B1

(b) A-B=A-(A ∩ B)

(c) A-B=A-B1

(d) A-B=(AUB)-B​

Find:

Which of the following statement is false

Solution:

A-B = A-(A ∩ B) (This is the true definition)

We need to check the options with this

(a) A-B=A ∩ B1

∵B'=B-(A ∩ B)

A∩B' = A∩(B-(A ∩ B))

         =A-B

THIS OPTION IS CORRECT

(b) A-B=A-(A ∩ B)

This option is also correct

(c) A-B=A-B'

A-B'=A-(B-(A ∩ B))

      =0

This option is false

(d) A-B=(AUB)-B​

This option is also correct

Therefore the option C is false

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