Rozwiąż równania i nierówności: |x + 5| >(bądź równe) 3(całe)2/5 Oblicz. |1 - 3pierwiastki - 5pierwiatków | - |5pierwiastków - 2| + 2|3pierwiastki - 2| 

[latex]|x+5|geq3frac{2}{5}iff x+5geq3frac{2}{5} vee x+5leq-3frac{2}{5}\\xgeq3frac{2}{5}-5 vee xleq-3frac{2}{5}-5\\xgeq-1frac{3}{5} vee xleq-8frac{2}{5}\\xinleft(-infty;-8frac{2}{5} ight > cup left < -1frac{3}{5}; infty ight)[/latex] [latex]|1-sqrt3-sqrt5|-|sqrt5-2|+2|sqrt3-2|=(*)\------------------------------\1-sqrt3-sqrt5 < 0Rightarrow|1-sqrt3-sqrt5|=-(1-sqrt3-sqrt5)=sqrt5+sqrt3-1\\sqrt5-2 > 0Rightarrow|sqrt5-2|=sqrt5-2\\sqrt3-2 < 0Rightarrow|sqrt3-2|=-(sqrt3-2)=2-sqrt3\------------------------------\(*)=sqrt5+sqrt3-1-(sqrt5-2)+2(2-sqrt3)\\=sqrt5+sqrt3-1-sqrt5+2+4-2sqrt3=5-sqrt3[/latex]