Question

1 Determine An BeA UB, sendo:
a) A = {xEN | x>5} e B = {XENIX<7}
b) A = {x EZ | x> 1} e B = {x EZ | X> 3}
c) A = {x + Z | x< 10} e B = {x + N* | x<6}
d) A = {X EN 2<x<5} e B = {x + Z | 1< x < 4}​

Answer 1

Resposta:

a)

A= {x E N/ x> = 5}

A = {6, 7, 8, ......} A∩B = {6} AUB = {0, 1, 2, ........}

B= {x E N/ x<7}

B = {0, 1, 2, 3, 4, 5, 6}

b)

A = {x E Z/ x > 1}

A = {2, 3, 4,, .......} A∩B = {3, 4, 5, ....} AUB {2, 3, 4, .....}

B = {x E Z/ x > = 3}

B = {3, 4, 5, .......}

c)

A = {x E Z/ x < 10}

A = {.... -3, -2, -1, 0,1, 2........8, 9}

B = { x E N*/ x < 6}

B = {1, 2, 3, 4, 5}

A∩B = {1, 2, 3, 4, 5} AUB = {...., -3, -2, -1,......., 7, 8, 9}