Chapter 1.7, Problem 27E

To determine

To find: the values of $x$ and $y$ .

Answer to Problem 27E

$x$	$y$
$-3\le x<-2$	$-3\le y<-2$
$-2\le x<-1$	$-2\le y<-1$
$-1\le x<0$	$-1\le y<0$
$0\le x<1$	$0\le y<1$
$1\le x<2$	$1\le y<2$
$2\le x<3$	$2\le y<3$

Explanation of Solution

Given information:

The variables $x$ and $y$ are the solutions to $〚x〛=〚y〛$ .

Calculation:

Let’s make a table for the given situation as shown below.

$x$	$y$
$-3\le x<-2$	$-3\le y<-2$
$-2\le x<-1$	$-2\le y<-1$
$-1\le x<0$	$-1\le y<0$
$0\le x<1$	$0\le y<1$
$1\le x<2$	$1\le y<2$
$2\le x<3$	$2\le y<3$

The variables $x$ and $y$ can only be the whole numbers. The graph of this equation will be a series of points along the line $y=x$ as shown below.