Question

Calculati va rog sustemul de inecuatii
$\left \{ {{x-5 \leq 15-3x} \atop {1-4x\ \textgreater \ 22-3x}} \right.$

Answer 1

$\left \{ {{x-5 \leq 15-3x} \atop {1-4x\ \textgreater \ 22-3x}} \right.$

$\left \{ {{x-3x \leq 15+5} \atop {-4x+3x\ \textgreater \ 22-1}} \right$

$\left \{ {{-2x \leq 20} \atop {x\ \textless \ 21}} \right.$ 

$\left \{ {{2x \geq -20} \atop {x\ \textless \ 21}} \right.$
 
$\left \{ {{2x \geq -20} \atop {x\ \textless \ 21}} \right.$

$\left \{ {{x \geq 10} \atop {x\ \textless \ 21}} \right.$
 
 x≥10, x∈ [10, +∞)
 x<21, x∈ (-∞, 21)

[10,+∞)∩ (-∞, 21)= [10, 21)