First slide

Operations on Sets

Question

$Let N be the set of non-negative integers, I the set of integers, N_{p} the set of non-positive integers, E the set of$
$even integers and P the set of prime numbers. Then$

Moderate

A

$I - N = N_{p}$
B

$N \cap N_{p} = ϕ$
C

$E \cap P = ϕ$
D

$N Δ N_{p} = I - {0}$

Solution

$N = \{0, 1, 2, 3, . . . . . . .\} I = \{. . . . . ., - 2, - 1, 0, 1, 2, . . . . . .\} N_{p =} \{. . . . . . . . - 2, - 1, 0\} E = \{2, 4, 6, . . . . . . . .\} P = \{2, 3, 5, . . . . . . . .\}$
$\begin{matrix} N Δ N_{p} = (N - N_{p}) \cup (N_{p} - N) \\ = {1, 2, \dots} \cup {\dots - 2, - 1} = I - {0} \end{matrix}$

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