Question

scrieti urmatoarele multimi, enumerand elementele: F={x/x€N, x+16>5*x} si G={x/x€N, 2^x divide pe 2^5*3^4} va rog sa ma ajutati.

Answer 1

F={x/x€N, x+16>5*x}

x+16>5x      |-16

x>5x-16       |-5x

x-5x>-16

-4x>-16       | *(-1)

4x<16         | :4

x<4 
x∈N => x∈{0;1;2;3}
F={0;1;2;3}

G={x/x€N, 2^x divide pe 2^5*3^4}

$2 ^{x} |2 ^{5} * 3^{4}$

2^5 *3^4=2592

Divizorii(2592)={1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592}

Divizorii care indeplinesc conditia : 2^1; 2^2 ;2^3 ;2^4;2^5

x∈{1;2;3;4;5}
G={1;2;3;4;5}