2010008502 Level: CFind all \( t\in\mathbb{R} \), such that the following equation with the variable \( x \) has more than two solutions. \[ \Bigl| 1-|2-x|\Bigr|+1=t \]\( t\in(1;2 ] \)\( t\in\{2\} \)\( t\in(2;\infty) \)\( t \in \emptyset \)
2010008505 Level: CGive the solution set of the equation \( \left| |2+x|-|x-4| \right|=6\).\( (-\infty;-2] \cup [ 4 ;+\infty) \)\( (-\infty;-4] \cup [ 2 ;+\infty) \)\( [ -2 ;+\infty) \)\( [ 4 ;+\infty) \)
2010008604 Level: CFind the sum of all the roots of the given equation. \[ \bigl|2- |x+1|\bigr|=0 \]\( -2\)\( 2\)\( -4 \)\( 0 \)