Question

Graph each inequality. $$ 5 x+3 y<0 $$

   Graph each inequality.
$$
5 x+3 y<0
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 3, Problem 61

Instant Answer

Solved by Expert Lily An

04/10/2020

Step 1

We can do this by subtracting 5x from both sides of the inequality: $$ 3y < -5x $$ Show more…

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Graph each inequality. $$ 5 x+3 y<0 $$

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Key Concepts

Linear Inequality

A linear inequality is an algebraic expression involving two variables with an inequality sign (such as <, >, ?, or ?). It describes a set of solutions that do not lie along a single line but rather in an area of the coordinate plane, bounded by the line corresponding to the related equality.

Boundary Line

The boundary line is obtained by changing the inequality to an equality, which divides the plane into two distinct regions. For a strict inequality (using < or >), the boundary line is drawn as dashed to indicate that points on it are not included in the solution.

Half-Plane Region

Once the boundary line is drawn, the solution to the inequality lies in one of the two half-planes formed by the line. This region, often determined by testing a point not on the line, represents all the points that satisfy the inequality.

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