Question

20 puncte+coroana!!
Rezolva in multimea numerelor intregi nenegative inecuatiilor:
a)x-4<2
b)x+(-8)<5
c)3-x<0
d)2x+1<6
e)2x-3>-3
f)3x-1<-2

Answer 1

$a).x-4\ \textless \ 2 \\ x\ \textless \ 2+4 \\ x\ \textless \ 6 \\ b).x+(-8)\ \textless \ 5 \\ x-8\ \textless \ 5 \\ x\ \textless \ 5+8 \\ x\ \textless \ 13 \\ c).3-x\ \textless \ 0 \\ -x\ \textless \ 0-3 \\ -x\ \textless \ -3 \\ x\ \textgreater \ 3$
$\displaystyle d).2x+1\ \textless \ 6 \\ 2x\ \textless \ 6-1 \\ 2x\ \textless \ 5 \\ x\ \textless \ \frac{5}{2} \\ e).2x-3\ \textgreater \ -3 \\ 2x\ \textgreater \ -3+3 \\ 2x\ \textgreater \ 0 \\ x\ \textgreater \ 0$
$\displaystyle f).3x-1\ \textless \ -2 \\ 3x\ \textless \ -2+1 \\ 3x\ \textless \ -1 \\ x\ \textless \ - \frac{1}{3}$