Question

A = Z, B = Z Let R be the following relation on A and B: a R b if a > b.

Which of the pairs below are not in this relation?
A. (5,7)
B. (-5,-15)
C. (500,0)
D. (-7, -8)
E. (-5,-7)
F. (5,4)
G. (0,-1)
H. (1,0)
I. (1000,-4)

Answer 1

The pairs not in the relation are A. (5,7), D. (-7,-8), E. (-5,-7), and G. (0,-1).

Step-by-step explanation:

The relation R is defined as a R b if a > b. Let's check each pair to determine if they are in this relation:

• A. (5,7): 5 is not greater than 7, so this pair is not in the relation.
• B. (-5,-15): -5 is greater than -15, so this pair is in the relation.
• C. (500,0): 500 is greater than 0, so this pair is in the relation.
• D. (-7,-8): -7 is not greater than -8, so this pair is not in the relation.
• E. (-5,-7): -5 is not greater than -7, so this pair is not in the relation.
• F. (5,4): 5 is greater than 4, so this pair is in the relation.
• G. (0,-1): 0 is not greater than -1, so this pair is not in the relation.
• H. (1,0): 1 is greater than 0, so this pair is in the relation.
• I. (1000,-4): 1000 is greater than -4, so this pair is in the relation.