Chlorophyll is any of several related green pigments found in the mesosomes of cyanobacteria and in the chloroplasts of algae and plants. Its name is derived from the Greek words χλωρός, khloros and φύλλον, phyllon. Chlorophyll is essential in photosynthesis, allowing plants to absorb energy from light.
For each of these relations on the set [1, 2, 3, 4], we can decide whether it is
1. reflexive,
2. symmetric,
3. antisymmetric,
4. transitive.
;- [(2, 2),(2, 3),(2, 4),(3, 2),(3, 3),(3, 4)]
• Not reflexive because we do not have (1, 1), (3, 3), and (4, 4).
• Not symmetric because while we we have (3, 4), we do not have (4, 3).
• Not antisymmetric because we have both (2, 3) and (3, 2).
• Thus , Transitive because if we have (a, b) in this relation, then a will be either 2 or 3. Then (2, c)and (3, c) are in the relation for all c 6= 1.
Answers & Comments
Answer:
Chlorophyll is any of several related green pigments found in the mesosomes of cyanobacteria and in the chloroplasts of algae and plants. Its name is derived from the Greek words χλωρός, khloros and φύλλον, phyllon. Chlorophyll is essential in photosynthesis, allowing plants to absorb energy from light.
Answer:
For each of these relations on the set [1, 2, 3, 4], we can decide whether it is
1. reflexive,
2. symmetric,
3. antisymmetric,
4. transitive.
;- [(2, 2),(2, 3),(2, 4),(3, 2),(3, 3),(3, 4)]
• Not reflexive because we do not have (1, 1), (3, 3), and (4, 4).
• Not symmetric because while we we have (3, 4), we do not have (4, 3).
• Not antisymmetric because we have both (2, 3) and (3, 2).
• Thus , Transitive because if we have (a, b) in this relation, then a will be either 2 or 3. Then (2, c)and (3, c) are in the relation for all c 6= 1.
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