4. Write down the infimum and supremum of the following sets if they exist, and point...

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4. Write down the infimum and supremum of the following sets if they exist, and point out if they do not exist. Also identify if these sets have a maximum or a minimum. 2 a. S = {rQ: r <3}. Here, write a full proof of your claims. b. S = {r R2 <3}. Here you can identify the supremum and infimum without == proof. 4. Write down the infimum and supremum of the following sets if they exist, and point out if they do not exist. Also identify if these sets have a maximum or a minimum. 2 a. S = {rQ: r <3}. Here, write a full proof of your claims. b. S = {r R2 <3}. Here you can identify the supremum and infimum without == proof.