Q. 22 - Precalculus Enhanced with Graphing Utilities

Question

Graph each inequality by hand. 

$xy\le 1$

Step-by-Step Solution

Answer

The required graph is

Step 1. Given Information

We are given the inequality $xy\le 1$ and we need to graph it.   

Step 2. Plotting the graph

First, we plot the equation of the parabola $xy=1$.

The graph of the inequality $xy\le 1$ is a solid line and so is part of the graph of the inequality. Since $\left(0,0\right)$ satisfies the inequality, the graph consists of the portion towards the origin. The shaded portion represents the inequality. The graph is