Suppose x is a positive rational number and x? < 2. Let y = 22. Prove that x < y and y? < 2. X+2

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Suppose x is a positive rational number and x? < 2. Let y = 22. Prove that x < y and y? < 2.
X+2
Explain why this means that the set
X = {q € Q : q < 2}.
doesn't have a maximum.
Transcribed Image Text:Suppose x is a positive rational number and x? < 2. Let y = 22. Prove that x < y and y? < 2. X+2 Explain why this means that the set X = {q € Q : q < 2}. doesn't have a maximum.
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