Question

In Exercises 18 through 20, find the set of smallest cardinality that contains the given sets as subsets. 18. \( \{a, b, c\},\{a, d, e, f\},\{b, c, e, g\} \) 19. \( \{1,2\},\{1,3\}, \varnothing \) 20. \( \{2,4,6, \ldots, 20\},\{3,6,9, \ldots, 21\} \)

          In Exercises 18 through 20, find the set of smallest cardinality that contains the given sets as subsets.
18. \( \{a, b, c\},\{a, d, e, f\},\{b, c, e, g\} \)
19. \( \{1,2\},\{1,3\}, \varnothing \)
20. \( \{2,4,6, \ldots, 20\},\{3,6,9, \ldots, 21\} \)

In Exercises 18 through 20, find the set of smallest cardinality that contains the given sets as subsets.
18. {a, b, c},{a, d, e, f},{b, c, e, g}
19. {1,2},{1,3}, ∅
20. {2,4,6, …, 20},{3,6,9, …, 21}

Added by Nicholas R.

Discrete Mathematics with Applications

Thomas Koshy 1st Edition

Chapter 2

Instant Answer

Solved by Expert Hoan Nguyen

07/01/2023

Step 1

For Exercise 18: Given sets: \( \{a, b, c\}, \{a, d, e, f\}, \{b, c, e, g\} \) Union: \( \{a, b, c, d, e, f, g\} \) For Exercise 19: Given sets: \( \{1, 2\}, \{1, 3\}, \varnothing \) Union: \( \{1, 2, 3\} \) For Exercise 20: Given sets: \( \{2, 4, 6, \ldots, Show more…

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In Exercises 18 through 20, find the set of smallest cardinality that contains the given sets as subsets. 18. \( \{a, b, c\},\{a, d, e, f\},\{b, c, e, g\} \) 19. \( \{1,2\},\{1,3\}, \varnothing \) 20. \( \{2,4,6, \ldots, 20\},\{3,6,9, \ldots, 21\} \)