Question 21
We will indicate by $[x],\{x\}$ the integer and decimal parts of the real number $x$. We define a distance between the real numbers $x$ e $y$ $$
d(x, y)=\sqrt{([x]-[y])^{2}+(\{x\}-\{y\})^{2}}
$$ Determine (as junction of intervals) the set of real numbers that are far from the number $3 / 2$ less than $202/100$.
d(x, y)=\sqrt{([x]-[y])^{2}+(\{x\}-\{y\})^{2}}
$$ Determine (as junction of intervals) the set of real numbers that are far from the number $3 / 2$ less than $202/100$.