Q. 16 - Precalculus Enhanced with Graphing Utilities

Question

Graph each inequality by hand. 

$3x+2y\le 6$

Step-by-Step Solution

Answer

The required graph is 

Step 1. Given Information

We are given the inequality $3x+2y\le 6$ and we need to graph it.  

Step 2. Plotting the graph

First, we plot the equation of the line $3x+2y=6$.

The graph of the inequality $3x+2y\le 6$ is a solid line and so is part of the graph of the inequality. Since $\left(0,0\right)$ does satisfies the inequality, the graph consists of the plane towards the origin. The shaded portion represents the inequality. The graph is