2.The range of R = {(0, 2), (2, 4), (3, 4), (4, 5)} is
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Step-by-step explanation:
Given The range of R = {(0, 2), (2, 4), (3, 4), (4, 5)} is
- Now a set of ordered pairs is defined as a relation or function let it be f. so f = {(m,n)}
- Now Range is defined as the set of all second components of ordered pairs belonging to R
- Also Range is defined as R = {n : (m,n) ∈ f}
- Therefore the Range R = {2,4,5}
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Range R = {2,4,5}
Step-by-step explanation:
Given: R = {(0, 2), (2, 4), (3, 4), (4, 5)}
Find: Range
Solution:
Let f be a function of a set of ordered pairs such that f = {(m,n)}
It's range is defined as the set of all second components of the ordered pairs belonging to the function.
If range is denoted by R, then R = {n : (m,n) ∈ f}
For the above set, Range R = {2,4,5} taking only the second components of the ordered pairs.
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