Question

explicitați modulul :
l-modul
a) lx-2l
b) l1-xl
c) l3x-6l
d) l10-5xl
MODEL:lx-2l=$\left \{ {{x-2, x \geq 2} \atop {2-x, x\ \textless \ 2}} \right.$

Answer 1

$b) |1-x| \in \left \{ {{1-x , \ x\geq 1 } \atop {x-1, \ x\ \textless \ 1}} \right. \\\\\\ c)|3x-6| \in \left \{ {{3x-6, \ x \geq 2} \atop {-3x+6, \ x\ \textless \ 2}} \right. \\\\\\ d)|10-5x| \in \left \{ {{10-5x, \ x \geq 2} \atop {-10+5x, \ x\ \textless \ 2}} \right.$