Question

Poate cineva sa ma ajute cu ex 2 punctul c? va rog nu stiu cum sal fac...

Answer 1

|x-1|= { x-1 ,daca x≥1
          {1-x,daca x<1
|x-2|={ x-2,daca x≥
2
         {2-x,daca x<2
daca x∈(-∞,1] avem
1-x+2-x=1 ,-2x=-2 ,x=1
daca x∈[1,2) 
x-1+2-x=1 ,∅
daca x∈[2,+∞) 
x-1+x-2=1 ,2x=4,x=2
C={1,2}
|x-1|={ x-1 ,daca x≥1
          {1-x,daca x<1
|8-x|={x-8 ,daca x≥8
         {8-x,daca x<8
daca x∈(-∞,1)
1-x+8-x=7
-2x=-2
x=1
daca x∈(1,8)
x-1+8-x=7 ,∅
daca x∈[8,+∞)
x-1+x-8=7
2x=18
x=9
S={1,9}
C={1,2} ∩{1,9}={1}