Question

Va rog. Am nevoie rapidddddddd.​

Answer 1

Răspuns:

Explicație pas cu pas:

4.

a) M₉∩D₃₆=?

M₉={0; 9; 18; 27; 36; 45; 54; 63; 72; 81; 90; .....}

D₃₆={1; 2; 3; 4; 6; 9; 12;18; 36}

M₉∩D₃₆={9; 18; 36}

b) A={1; 2; 3; 4}

c) B={n∈N | 3<2n+1≤33}  

2n+1≤33  ⇒2n≤33-1  ⇒2n≤32  ⇒n≤16

3<2n+1  ⇒3-2<2n  ⇒2<2n  ⇒1<n  ⇒   1<n≤16  ⇒

B={2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16}

Answer 2

Explicație pas cu pas:

a)

$\mathcal{M}_{9} = \Big\{ 0; 9; 18; 27; 36;... \Big\}$

$\mathcal{D}_{36} = \Big\{ 1; 2; 3; 4; 6; 9; 12; 18; 36\Big\}$

$\mathcal{M}_{9} \cap \mathcal{D}_{36} = \Big\{9; 18; 36\Big\}$

b)

$A = \Big\{x \Big| x \in \mathbb{N} \ , x \leqslant 5\Big\}$

c)

$3 < 2n + 1 \leqslant 33$

$2 < 2n \leqslant 32 \iff 1 < n \leqslant 16$

$n \in \Big\{ 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16\Big\}$