Question

9. Se dau multimile A = {x E N|14: (x + 3)} si B = {x E N| (3x + 1) € D₁2} . Determinati A UB,ANB,A- B, B – A.​

Answer 1

Explicație pas cu pas:

14 ∈ {1, 2, 7, 14} => (x+3) ∈ {1, 2, 7, 14} |(-3)

=> x ∈ {-2, -1, 4, 11}

x ∈ N => A = {4, 11}

B = {x E N| (3x + 1) € D₁2}

(3x + 1) ∈ {1, 2, 3, 4, 6, 12} |(-1)

3x ∈ {0, 1, 2, 3, 5, 11}

x ∈ N => B = {0, 1}

=>

A∪B = {0, 1, 4, 11}

A∩B = Ø

A - B = {4, 11} = A

B - A = {0, 1} = B