Maths-
General
Easy

Question

If A equals open curly brackets x colon x text  is a factor of  end text 15 close curly brackets comma B open curly brackets x colon x text  is a factor of  end text 18 close curly brackets text  then  end text A intersection B equals

  1. {1, 3}    
  2. {1, 5}    
  3. {1,3, 5}    
  4. {1,3, 6}    

hintHint:

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set. Here we have given a set A and B, we have to find A intersection B.

The correct answer is: {1, 3}


    Now we know that 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 number of elements in a set is determined by its order. It describes a set's size. Cardinality is another name for the set order.
    In mathematics, there are various kinds of sets. Infinite and finite sets, proper sets, equal sets, and empty sets are some examples.
    Now we have given the sets as:
    A equals open curly brackets x colon x text  is a factor of  end text 15 close curly brackets
B open curly brackets x colon x text  is a factor of  end text 18 close curly brackets text end text
L e t s space s i m p l i f y space t h e space A space a n d space B space s e t s comma space w e space h a v e space g i v e n colon
x text  is a factor of  end text 15 comma space s o space w e space g e t colon
F a c t o r s space o f space 15 space a r e colon space 3 comma space 5 comma space s o space s e t space A space b e c o m e s colon
A equals open curly brackets 1 comma space 3 comma space 5 close curly brackets
x text  is a factor of  end text 18 comma space s o space w e space g e t colon
F a c t o r s space o f space 18 space a r e colon space 2 comma space 3 comma space 3 comma space s o space s e t space B space b e c o m e s colon
B equals open curly brackets 1 comma space 2 comma space 3 comma space 3 close curly brackets
I n t e r s e c t i o n space i s space b a s i c a l l y space w h e n space t h e r e space a r e space c o m m o n space t e r m s space i n space b o t h space t h e space s e t s comma space s o space h e r e space t h e space c o m m o n space t e r m s space a r e colon
A intersection B equals open curly brackets 1 comma space 3 close curly brackets

    So here we understood the concept of sets and its various types that are there. The concept of intersection of sets was used which is basically when there are common terms in the given number of sets, those comes under the intersection. So A intersection B equals open curly brackets 1 comma space 3 close curly brackets.

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