Question 7 - A-Level Maths

Exam Board	AQA
Module	Further AS Paper 2 Discrete (Further AS Paper 2 Discrete)
Year	2024
Session	June
Topic	Groups

7 The binary operation ∇ is defined as $$a \nabla b = a + b + a b \text { where } a , b \in \mathbb { R }$$ 7

Determine if $\nabla$ is commutative on $\mathbb { R }$ Fully justify your answer. 7
Prove that ∇ is associative on $\mathbb { R }$