Taking the set of natural numbers as the universal set,write down the complement of the following set: $\{x: x+5=8\}$
(N/A) Let the universal set $U = N$,where $N$ is the set of natural numbers.
Let $A = \{x: x+5=8\}$.
Solving the equation $x+5=8$,we get $x=3$.
So,$A = \{3\}$.
The complement of set $A$ is denoted by $A^\prime$ or $A^c$.
$A^\prime = U - A = \{x: x \in N \text{ and } x \neq 3\}$.
Let $A = \{x: x+5=8\}$.
Solving the equation $x+5=8$,we get $x=3$.
So,$A = \{3\}$.
The complement of set $A$ is denoted by $A^\prime$ or $A^c$.
$A^\prime = U - A = \{x: x \in N \text{ and } x \neq 3\}$.
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