Question

Fie multimea A={x=2•n , x apartine N , n mai mic sau egal 4 , n apartine N}
B={ x apartine N , x=3•n , n mai mic sau egal 3 , x apartine N}
- sa se determine elementele celor doua multimi
-sa se calculeze A reunit cu B , A intersectat cu B , A- B , A•B

Answer 1

A={x=2•n , x apartine N , n mai mic sau egal 4 , n apartine N}

x=2×b
n <=4 =>
n={0,1,2,3,4}

x=2×0=0
x=2×1=2
x=2×2=4
x=2×3=6
x=2×4=8
____________
A={0,2,4,6,8}
____________

B={ x apartine N , x=3•n , n mai mic sau egal 3 , x apartine N}

x=3×n

n <=3 =>
n={0,1,2,3}

x=3×0
x=3×1=3
x=3×2=6
x=3×3=9
__________
B={0,3,6,9}
__________

A reunit cu B={0,2,3,4,6,8,9}

A intersectat cu B={0,3,6}

A-B={2,4,8}

A×B={(0;0)(0;3)(0;6)(0;9)(2;0)(2;3)(2;6)(2;9)(4;0)(4,3)(4;6)(4,9)(6;0)(6;3)(6;6)(6;9)(8;0) (8;3)(8;6)(8;9)}