[tex]a)~19+x \leq 43 \\ x \leq 43-19 \\ x \leq 24 ,~x \in N \Rightarrow x \in \{ 0,1,2,3,...,24 \}. \\ \\ b)~28-x \geq 11 \\ 28-11 \geq x \\ 17 \geq x ,~x \in N \Rightarrow x \in \{0,1,2,3,...,17\}. \\ \\ c)~x+38-18\ \textless \ 83 \\ x\ \textless \ 83-38+18 \\ x\ \textless \ 63,~ x \in N \Rightarrow x \in \{0,1,2,3,...,62 \}. \\ \\ d)~41+x-39\ \textless \ 83-77 \\ x\ \textless \ 83-77-41+39 \\ x\ \textless \ 4 , ~x \in N \Rightarrow x \in \{0,1,2,3 \}.[/tex]
Retine! Multimea in care se cere sa se rezolve ecuatia (inecuatia in cazul acesta) nu este neglijabila, deoarece exista diverse tipuri de probleme pentru fiecare multime in parte!