Răspuns:
5. a)
[tex]3x+\frac{1}{2}<\sqrt{2} \\3x < \sqrt{2}- \frac{1}{2}\\x < \frac{\sqrt{2}}{3}-\frac{1}{6}[/tex]
b) x este marginit deoarece x apartine (-inf;[tex]\frac{\sqrt{2} }{3}-\frac{1}{6}[/tex] )
[tex]\frac{\sqrt{2} }{3}-\frac{1}{6}[/tex] = 0.304738
6. A) SI B)
[tex]x^2-x\leq 0\\[/tex]
[tex]x(x-1)\leq 0\\\\=>\\ \left \{ {{x\leq 0} \atop {x-1\geq 0}} \right. \\\left \{ {{x\geq 0} \atop {x-1\leq 0}} \right.[/tex]
Acum vom gasi intersectiile lui x si avem:
[tex]\left \{ {{x\geq 0} \atop {x\leq 1}} \right.[/tex] => x apartine intervalului [0,1]
