Question

M = {x : x ∈ N and multiple of 3, < 10} N = {x : x is a prime number, x < 19}

Answer 1

Answer:

M = ( x:x is a natural number and multiple of 3) N = ( x:x is a prime number less than 19 )find the union of this question. Answer:

M ∪ N will be = { 2, 3, 5, 6, 7, 9, 11, 12, 13, 15, 17, .... }

Step-by-step explanation:

Given two sets in set builder form

\text{M = { x : x is a natural number and a multiple of 3 }}M = x : x is a natural number and a multiple of 3

\text{N = { x : x is a prime number less than 19 }}N = x : x is a prime number less than 19

we have to find the union of these two sets.

\text{M = { x : x is a natural number and a multiple of 3 }}M = x : x is a natural number and a multiple of 3

M=\{3, 6, 9, 12, 15, ... \}M={3,6,9,12,15,...}

\text{N = { x : x is a prime number less than 19 }}N = x : x is a prime number less than 19

N = \{ 2, 3, 5, 7, 11, 13, 17 \}N={2,3,5,7,11,13,17}

M ∪ N={3, 6, 9, 12, 15, ...} ∪ { 2, 3, 5, 7, 11, 13, 17 }

M ∪ N={2, 3, 5, 7, 11, 13, 17, 3, 6, 9, 12, 15, ...}

so M ∪ N will be = { 2, 3, 5, 6, 7, 9, 11, 12, 13, 15, 17, .... }