$\xi = \{x : x \text{ is an integer and}\hspace{0.5em} 1

Question

$\xi = \{x : x \text{ is an integer and}\hspace{0.5em} 1 < x < 18\}$ $A = \{x : x \text{ is a multiple of}\hspace{0.5em} 3\}$ $B = \{x : 9 \le 3x - 4 < 32\}$ 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.

Accepted Answer

$n(A\cup B')=11$

Union and Complement of Sets Defined by Multiples and Inequalities

Union and Complement of Sets Defined by Multiples and Inequalities

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