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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 680 (page 574)

Graph the linear inequality $y \leq - 3 x$

Short Answer

Expert verified

Graphing the given linear inequality

Step by step solution

01

Step 1. Given Information

The given linear inequality is $y \leq - 3 x$

02

Step 2. graph the boundary line

it is in slope intercept form $m = - 3 a n d b = 0$

here inequality is $\leq$ draw a solid line.

$(0, 1)$ is not on boundary line

$y \leq - 3 x 1 \leq - 3 (0) 1 \leq 0$

$(0, 1)$ is not a solution so boundary line does not contain $(0, 1)$

03

Step 3. Draw the graph

Graph of given linear inequality

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Most popular questions from this chapter

Which of the following ordered pairs are solutions to the equation $y = 4 x - 3 ?$

$(a) (0, 3) (b) (1, 1) (c) (- 1, - 1)$

In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system :

Find three solutions to the equation $2 x + 3 y = 6 .$

In the following exercises, which ordered pairs are solutions to the given equations :

$y = \frac{1}{3} x + 1$

(a) $(- 3, 0)$ (b) $(9, 4)$ (c) $(- 6, - 1)$

In the following exercises, which order pair are solution to the given equation :

$4 x - 2 y = 8$

(a) $(3, 2)$ (b) $(1, 4)$ (c) $(0, - 4)$

See all solutions

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