## Question

###### Part MIQuestion 3. You know that 56 = -8 (mod 27). Find 5'2,5I8 and 52018 modulo 27.Question 4 Define f 22 R' by f(y) = (1+9.2x-Y+I+2). Determine whether one-tO-onle _ onto, both_ or neitherQuestion 5. Define $ R~Rbyif x < 0, if x =0. if x > 0.s(x) =(a) For an open interval (a,b) in R, find its preimage $-'((a,b)). (b) Using the definition of continuity in terms of preimages, explain why is not continuous.Question 6 relation is defined on R by: X ~ > if and only if xy 2 0

Part MI Question 3. You know that 56 = -8 (mod 27). Find 5'2,5I8 and 52018 modulo 27. Question 4 Define f 22 R' by f(y) = (1+9.2x-Y+I+2). Determine whether one-tO-onle _ onto, both_ or neither Question 5. Define $ R~Rby if x < 0, if x =0. if x > 0. s(x) = (a) For an open interval (a,b) in R, find its preimage $-'((a,b)). (b) Using the definition of continuity in terms of preimages, explain why is not continuous. Question 6 relation is defined on R by: X ~ > if and only if xy 2 0. Is this relation an equivalence relation? If is not an equivalence relation, which of the required properties does it have and which does it fail to have?

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