Discrete Mathematics: Analyzing the Union of Prime and Square Numbers

Discrete Mathematics: Analyzing the Union of Prime and Square Numbers

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\(\xi = \{x : x \text{ is an integer and}\hspace{0.5em} 1 < x < 18\}\)

\(A = \{x : x \text{ is a multiple of}\hspace{0.5em} 3\}\)

\(B = \{x : 9 \le 3x - 4 < 32\}\)

Find the number of elements in the set \(A \cup B'\).

All sets in this question are subsets of the stated universal set \(\xi\); every set-builder variable is restricted to that universe.

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Answer:\(n(A\cup B')=11\)

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