to is defined by: te b 6 = a+b if a+bac a t (a+b-c if a+b...

 

 

Transcribed Image Text:

to is defined by: te b 6 = a+b if a+bac a t (a+b-c if a+b c for a, b [0, c) Find all solutions x of x+2 in R2. Using the definition of addition modulo 2T, we have two possible solutions of x+2x=in R2. Namely, x+2x=x+= if x + < 2 and x+2x=x+-2 = if x + 2 for some x = [0, 2) Attempting to solve the first equation for x, we have if x+7=then TT x=-=- but since x cannot be negative, this is not a solution to our equation. Attempting to solve the second equation for x, we have if x +-2then x=-+2 = 3. Since 3+ 2 and 3 <2, then 3 x = is a solution (and the only solution) to the equation, x+2 = . to is defined by: te b 6 = a+b if a+bac a t (a+b-c if a+b c for a, b [0, c) Find all solutions x of x+2 in R2. Using the definition of addition modulo 2T, we have two possible solutions of x+2x=in R2. Namely, x+2x=x+= if x + < 2 and x+2x=x+-2 = if x + 2 for some x = [0, 2) Attempting to solve the first equation for x, we have if x+7=then TT x=-=- but since x cannot be negative, this is not a solution to our equation. Attempting to solve the second equation for x, we have if x +-2then x=-+2 = 3. Since 3+ 2 and 3 <2, then 3 x = is a solution (and the only solution) to the equation, x+2 = .