Question

3x+2
11
Reprezinta pe axa numerelor fractiile subunitare

Answer 1

Explicație pas cu pas:

$\dfrac{3x + 2}{11} < 1 \\ 3x + 2 < 11 \\ 3x < 11 - 2$

$3x < 9 \implies x < 3$

x ∈ ℕ => x ∈ {0, 1, 2}

fracțiile sunt:

$\dfrac{3 \cdot 0 + 2}{11} = \dfrac{0 + 2}{11} = \dfrac{2}{11} \\ \dfrac{3 \cdot 1 + 2}{11} = \dfrac{3 + 2}{11} = \dfrac{5}{11} \\ \dfrac{3 \cdot 2 + 2}{11} = \dfrac{6 + 2}{11} = \dfrac{8}{11}$

0...|...2/11...|...|...5/11...|...|...8/11...|...|...1.....................