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Offer and acceptance

Julia puts an advert in a local magazine on 12th July: ‘Ladies 16” Raleigh bicycle, 12 gears, blue bodywork, one careful owner for sale at £250.’
Is the advert a unilateral offer or an invitation to treat? Give reasons and cite cases in support of your argument.
On 13th July, Matthew responds by letter on 13th July saying he would like to buy it for his fiancée could he come and view it.
Is Matthew’s letter an offer or an acceptance? If it is acceptance when is it valid? Give reasons why and cite cases in support of your arguments. there is a postal rule
The same day, Georgina sends a letter saying she wants to buy it as soon as possible and enclosing a cheque for £250.
Is Georgina’s letter an offer or an acceptance?? If it is an acceptance when is it valid? Give reasons why and cite cases in support of your arguments. it is an acceptance, postal rule however it was not an offer
Julia receives Matthew’s letter on 15th July and arranges for him to view the bike the following day, 16th July. He buys the bike on the 16th and shows it to Georgina telling her he has just bought it from Julia.
What is the legal relevance of Matthew’s statement to Georgina? Give reasons why and cite cases in support of your arguments
termination of the offer
Georgina’s letter arrives on the 17th of July.