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Dummytrita
a fost răspuns

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


Răspuns :

Rawan

[tex] \left \{ {{x-5 \leq 15-3x} \atop {1-4x\ \textgreater \ 22-3x}} \right. \\ [/tex]

[tex] \left \{ {{x-3x \leq 15+5} \atop {-4x+3x\ \textgreater \ 22-1}} \right \\ [/tex]

[tex] \left \{ {{-2x \leq 20} \atop {x\ \textless \ 21}} \right. \\ [/tex] 

[tex] \left \{ {{2x \geq -20} \atop {x\ \textless \ 21}} \right. \\ [/tex]
 
[tex]\left \{ {{2x \geq -20} \atop {x\ \textless \ 21}} \right.[/tex]

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

[10,+∞)∩ (-∞, 21)= [10, 21)