`a) A = { x in ZZ | -2 < x < 4 }`

`=> A = { -1; 0; 1; 2; 3 }`

`B = { x in NN | -3 <= x - 3 <= 1 }`

`=> B = { x in NN | 0 <= x <= 4 }`

`=> B = { 0; 1; 2; 3; 4 }`

`C = { x in ZZ | x^2 - 5x + 6 = 0` hoặc `x^2 - x = 0 }`

Có: `x^2 - 5x + 6 = 0`

`( x - 3 )( x - 2 ) = 0`

`x = 3` hoặc `x = 2`

Có: `x^2 - x = 0`

`x ( x - 1 ) = 0`

`x = 0` hoặc `x = 1`

`=> C = { 0; 1; 2; 3 }`

`D = { x in RR | x^2 < 4 }`

`=> D = { x in RR | x^2 < 2^2 }`

`=> D = { x in RR | -2 < x < 2 }`

`=> D = (-2; 2)`

`b)` Có: `B∪C = { 0; 1; 2; 3; 4 }`

`=> A∩(B∪C) = { 0; 1; 2; 3 }` `(1)`

Có: `A∩B = { 0; 1; 2; 3 }`

`A∩C = { 0; 1; 2; 3 }`

`=> (A∩B)∪(A∩C) = { 0; 1; 2; 3 }` `(2)`

`(1)(2) => A∩(B∪C) = (A∩B)∪(A∩C)`

`c)` Có: `B∪C = { 0; 1; 2; 3; 4 }`

`=> D∪(B∪C) = (-2; 2)∪{ 0; 1; 2; 3; 4 }`

`=> D∪(B∪C) = (-2; 4]`

Có: `C∪D = { 0; 1; 2; 3 }∪(-2; 2)`

`=> C∪D = (-2; 3]`

`=> R\(C∪D) = (-∞; -2]∪(3; +∞)`