Question

Rezolvati in Q+ ecuatia x-5/5=1/2

Rezolvati in N* inecuatia x-3/5<3

Answer 1

Prima varianta : cu paranteze
(x-5)/5 = 1/2
2(x-5) = 5
2x-10 = 5
2x = 15
x= 15/2

(x-3)/5 < 3
x-3 < 15
x < 12

A doua varianta: fara paranteze
x-5/5 = 1/2
x-1 = 1/2
x = (1+2)/2
x = 3/2

x-3/5 < 3
x < (15+3)/5
x < 18/5

Answer 2

a.
$x- \frac{5}{5}=\frac{1}{2}$
$x-1=\frac{1}{2}$
$x=\frac{1}{2}+1$
$x=\frac{1+2}{2}$
$x=\frac{3}{2}~~\in~ Q+$


b.

$x- \frac{3}{5} \ \textless \ 3$
$x<3+\frac{3}{5}$
$x\ \textless \ \frac{15+3}{5}$
$x\ \textless \ \frac{18}{5} ~~~ \in N*$