Question

exercitiul 21, A={x apartine Z...} VA ROG, AJUTATI-MA!​

Answer 1

Salut!

a)

A = { x € Z | | 2x + 3 | ≤ 5 }

| 2x + 3 | ≤ 5 <=> -5 ≤ 2x + 3 ≤ 5 | -3

-8 ≤ 2x ≤ 2 | : 2

-4 ≤ x ≤ 1, x € Z ==> x = { -4; -3; -2; -1; 0; 1 }

B = { x € R | -4 < x < 6 }

-4 < x < 6 ==> x € ( -4; 6 )

==> B = ( -4; 6 )

b)

A U B = [ -4; 6 )

A intersectat cu B = ( -4; 1]