Question

Determinati numărul natural a, astfel încât:

c ) a+3supra a+6 < 2supra3
VA ROOOOG DAU COROANA

Answer 1

Răspuns:

$-6<a<3$,a={0,1,2}

Explicație pas cu pas:

$\frac{a+3}{a+6} <\frac{2}{3} |-\frac{2}{3} \\\\\frac{a+3}{a+6} -\frac{2}{3} <0\\\\\frac{a-3}{3(a+6)} <0|*3\\\\\frac{3(a-3)}{3(a+6)} <0*3\\\\\frac{a-3}{a+6} <0$

$-6<a<3$

a={-5,-4,-3,-2,-1,0,1,2}, pastram doar nr. naturale

a={0,1,2}

Succes! :)

Answer 2

Răspuns:

Explicație pas cu pas:

(a + 3)/(a + 6) < 2/3

3(a + 3) < 2(a + 6)

3a + 9 < 2a + 12

3a - 2a < 12 - 9

a < 3

a = {0, 1, 2}