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Snowcat [4.5K]
3 years ago
10

Which is the intersection of the sets R={0, 1, 2, 4}, S={4, 9, 12, 13}, T={13, 15, 19, 20}?

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0

Answer:

Null set

Step-by-step explanation:

4 intersects sets R and S but not T

13 intersects sets S and T but not R

So this would result as a null set.

Sonbull [250]3 years ago
8 0

Answer:

R\cap S\cap T= \{ \} \text{ or } \phi \text{ aka null/empty/void set}

since there is no common element in all the three sets.

since intersection is associative,

you can do it in simpler ways as:

L \cap (R \cap T) = \{0,1,2,3,4\}\cap\left(\{4,9,12,13\}\cap\{13,15,19,20\}\right) \\ =\{0,1,2,3,4\}\cap(\{13\} = \phi

or

(L \cap R) \cap T = \left(\{0,1,2,3,4\}\cap\{4,9,12,13\}\right)\cap\{13,15,19,20\} \\ =\{4\}\cap(\{13,15,19,20\} = \phi

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