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Asked by siddharthjaiswal1122 4th February 2020, 9:40 PM
Answered by Expert
Answer:
The question should include: Represent R in the roster form instead of set builder form.
A = {2, 4, 6, 8} and B = {1, 2, 3, 4}
R equals open curly brackets open parentheses a comma space b close parentheses colon space a element of A comma space b element of B comma space a space i s space d i v i s i b l e space b y space b close curly brackets
A cross times B equals open curly brackets open parentheses 2 comma space 1 close parentheses comma space open parentheses 4 comma space 1 close parentheses comma space open parentheses 6 comma space 1 close parentheses comma space open parentheses 8 comma space 1 close parentheses comma space open parentheses 2 comma space 2 close parentheses comma space open parentheses 4 comma space 2 close parentheses comma space open parentheses 6 comma space 2 close parentheses comma space open parentheses 8 comma space 2 close parentheses comma space open parentheses 2 comma space 3 close parentheses comma space open parentheses 4 comma space 3 close parentheses comma space open parentheses 6 comma space 3 close parentheses comma space open parentheses 8 comma space 3 close parentheses comma space open parentheses 2 comma space 4 close parentheses comma space open parentheses 4 comma space 4 close parentheses comma space open parentheses 6 comma space 4 close parentheses comma space open parentheses 8 comma space 4 close parentheses close curly brackets
N o w comma space a s space w e space k n o w space t h a t space e v e r y space i n t e g e r space i s space d i v i s i b l e space b y space 1
T h e r e f o r e comma space open parentheses 2 comma space 1 close parentheses comma space open parentheses 4 comma space 1 close parentheses comma space open parentheses 6 comma space 1 close parentheses comma space open parentheses 8 comma space 1 close parentheses space element of space R
A l s o comma space e v e r y space n u m b e r space i s space d i v i s i b l e space b y space i t s e l f space rightwards double arrow space open parentheses 2 comma space 2 close parentheses comma space open parentheses 4 comma space 4 close parentheses space element of space R
4 comma space 6 space a n d space 8 space a r e space d i v i s i b l e space b y space 2 space rightwards double arrow space open parentheses 4 comma space 2 close parentheses comma space open parentheses 6 comma space 2 close parentheses comma space open parentheses 8 comma space 2 close parentheses space element of space R
6 space i s space d i v i s i b l e space b y space 3 space rightwards double arrow space open parentheses 6 comma space 3 close parentheses space element of space R
8 space i s space d i v i s i b l e space b y space 4 space rightwards double arrow space space open parentheses 8 comma space 4 close parentheses space element of space R
H e n c e comma space R space equals space open curly brackets open parentheses 2 comma space 1 close parentheses comma space open parentheses 4 comma space 1 close parentheses comma space open parentheses 6 comma space 1 close parentheses comma space open parentheses 8 comma space 1 close parentheses comma space open parentheses 2 comma space 2 close parentheses comma space open parentheses 4 comma space 2 close parentheses comma space open parentheses 6 comma space 2 close parentheses comma space open parentheses 8 comma space 2 close parentheses comma space open parentheses 6 comma space 3 close parentheses comma space open parentheses 4 comma space 4 close parentheses comma space open parentheses 8 comma space 4 close parentheses close curly brackets
Answered by Expert 5th February 2020, 10:19 AM
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