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Exercises Graphs and straight lines

Example 4.75 from Elementary Algebra, 4.7 Graphs of Linear Inequalities

Graphs of Linear Inequalities: example 4.75

Graph the linear inequality $y > 3$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
First we graph the boundary line $y = 3$ . It is a horizontal line. The inequality is > so we draw a dashed line.

We test the point $(0, 0)$ .

$\begin{matrix} y > 3 \\ 0 > 3 \end{matrix}$

$(0, 0)$ is not a solution to $y > 3$ .

So we shade the side that does not include (0, 0).

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Graph the linear inequality $y < 5$ .

How did it go?

PreviousGraphs of Linear Inequalities: example 4.74 Next Using a Linear Function to Find the Pressure on a Diver

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 4.7, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.