Q. 15 - Precalculus Enhanced with Graphing Utilities

Question

Graph each inequality by hand. 

$2x+y\ge 6$

Step-by-Step Solution

Answer

The required graph is

Step 1. Given Information

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

Step 2. Plotting the graph

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

The graph of the inequality $2x+y\ge 6$ is a solid line and so is part of the graph of the inequality. Since $\left(0,0\right)$ does not satisfy the inequality, the graph consists of the plane away from the origin. The shaded portion represents the inequality. The graph is