Question

Rezolvați în Z inecuațiile :
a) x+4(mai mic sau egal) -3
b)-2x+1( mai mare sau egal)-3x+4-5x
c)-5x+6(mai mic)-4
d)3x+5(mai mic sau egal)4x+2
e)3(x+4)-5(mai mare)2(x+1)

Answer 1

$a).x+4 \leq -3 \\ x \leq -3-4 \\ x \leq -7 \\ b).-2x+1 \geq -3x+4-5x \\ -2x+3x +5x \geq 4-1 \\ 6x \geq 3 \\ x \geq \frac{3}{6} \\ x \geq \frac{1}{2}$
$c).-5x+6\ \textless \ -4 \\ -5x\ \textless \ -4-6 \\ -5x\ \textless \ -10 \\ x\ \textgreater \ 2 \\ d).3x+5 \leq 4x+2 \\ 3x-4x \leq 2-5 \\ -x \leq -3 \\ x \geq 3$
$e).3(x+4)-5\ \textgreater \ 2(x+1) \\ 3x+12-5\ \textgreater \ 2x+2 \\ 3x-2x\ \textgreater \ 2-12+5 \\ x\ \textgreater \ -5$