Oblicz:
[latex]|7+sqrt2|=7+sqrt2[/latex]
------------------------
[latex]|-7+sqrt3|=-(-7+sqrt3)=7-sqrt3[/latex]
------------------------
[latex]|3-4sqrt2|cdot|-1-sqrt2|=[/latex]
[latex]-(3-4sqrt2)cdot[-(-1-sqrt2)]=[/latex]
[latex]-(3-4sqrt2)cdot(1+sqrt2)=[/latex]
[latex]-(3+3sqrt2-4sqrt2-8)=[/latex]
[latex]-3-3sqrt2+4sqrt2+8=[/latex]
[latex]sqrt2+5[/latex]
------------------------
[latex]|-4-2sqrt7|cdot|sqrt7-5|=[/latex]
[latex]-(-4-2sqrt7)cdot[-(sqrt7-5)])=[/latex]
[latex]-(-4-2sqrt7)cdot(-sqrt7+5)=[/latex]
[latex]-(4sqrt7-20+14-10sqrt7)=[/latex]
[latex]-4sqrt7+20-14+10sqrt7)=[/latex]
[latex]6sqrt7+6[/latex]
------------------------
[latex]|2-|6-13|-5|=|2-|-7|-5|=[/latex]
[latex]|2-7-5|=|-10|=10[/latex]
------------------------
[latex]|7-|-6+2|-1|=|7-|-4|-1|=[/latex]
[latex]|7-4-1|=|2|=2[/latex]
======================
Oblicz x:
[latex]|x|=4[/latex]
[latex]x=4 lub x=-4[/latex]
------------------------
[latex]|x|=8[/latex]
[latex]x=8 lub x=-8[/latex]
------------------------
[latex]|x-3|=1[/latex]
[latex]x-3=1 lub x-3=-1[/latex]
[latex]x=1+3 lub x=-1+3[/latex]
[latex]x=4 lub x=2[/latex]
------------------------
[latex]|x+4|=6[/latex]
[latex]x+4=6 lub x+4=-6[/latex]
[latex]x=6-4 lub x=-6-4[/latex]
[latex]x=2 lub x=-10[/latex]
------------------------
[latex]|x-2|=5[/latex]
[latex]x-2=5 lub x-2=-5[/latex]
[latex]x=5+2 lub x=-5+2[/latex]
[latex]x=7 lub x=-3[/latex]
------------------------
[latex]|x+6|=2[/latex]
[latex]x+6=2 lub x+6=-2[/latex]
[latex]x=2-6 lub x=-2-6[/latex]
[latex]x=-4 lub x=-8[/latex]
------------------------
[latex]|x| ge 5[/latex]
[latex]x ge 5 lub x le -5[/latex]
[latex]xinleft(- infty;-5
ight
angle cup leftlangle5;+ infty
ight)[/latex]
------------------------
[latex]|x|<2[/latex]
[latex]-2
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