Question: DISCRETE MATH. PLEASE PROVIDE FULL WORKING AND EXPLANATIONS 1) Let R be a binary relation on P(Z) defined by X RY if and only if

DISCRETE MATH.

PLEASE PROVIDE FULL WORKING AND EXPLANATIONS

1)

Let R be a binary relation on P(Z) defined by X RY if and only if 0 ? X-Y

Fully justify the following

i) Is R reflexive?

ii) Is R symmetric?

iii) Is R antisymmetric?

iv) Is R transitive?

2)

Use induction to prove that

DISCRETE MATH. PLEASE PROVIDE FULL WORKING AND
n n i(i+1 n+1 i =1

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