Question

Rezolvați in R ecuația:
2(1-x)+3x-5/-2 <1
/-fractie

Answer 1

Bună ziua,

$2(1-x)+3x- \frac{5}{2} \ \textless \ 1$
1. Transformam fractia ordinara intr-una zecimala, impartind numaratorul la numitor :
$2(1-x)+3x-5:2<1$
$2(1-x)+3x-2,5 \ \textless \ 1|+2,5$
$2(1-x)+3x \textless \ 3$
$2(1-x)+3x \textless \ 3|:3$
$2(1-x)+x \textless \ 1$
$2(1-x)+x \textless \ 1 | :2$
$1-x+x \textless \ 0,5$
[tex]1-2x \textless \ 0,5 [/tex]
[tex]1-2x \textless \ 0,5|:2 [/tex]
$1-x \textless \ 0,25$
[tex]1-x \textless \ 0,25 | +1 [/tex]
$x \textless \ 1,25$ ⇒ x∈ {0;1}