tmua.me Medium Set F Paper 2 · Question 1

tmua.me papers

tmua.me Medium Set F Paper 2 · Q1

Paper 2Logic & proofNumber & counting

Consider the following claim about positive real numbers $x$ and $y$ :

If $x$ and $y$ each round to $2$ to the nearest integer, then $x+y$ rounds to $4$ to the nearest integer.

Exact half-integers are rounded upwards. Which of the following is a counterexample to the claim?

x=1.4,\quad y=2.3

x=1.7,\quad y=2.1

x=1.8,\quad y=2.3

x=1.6,\quad y=1.8

x=2.4,\quad y=2.6

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