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Found in: Page 783

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# Graph each inequality by hand. $3x+2y\le 6$

The required graph is

See the step by step solution

## 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