A system of direct ineattributes in 2 variables is composed of at leastern 2 direct inefeatures in the same variables. The solution of a straight inequality is the ordered pair that is a solution to all inequalities in the mechanism and the graph of the linear inetop quality is the graph of all services of the device.

**Example**

Graph the device of inequalities

$$\left{eginmatrix yleq 2x-3: : : : : : : : \ ygeq -3: : : : : : : : : : : : : : : \ yleq -1.25x+2.5 endmatrixideal.\$$

Graph one line at the time in the same coordinate airplane and shade the half-plane that satisfies the inequality.

The solution region which is the intersection of the half-planes is presented in a darker shade

Typically only the solution region is shaded which provides it much easier to see which region is the solution region

**Video lesson**

Graph the mechanism of inequalities

$$\left{eginmatrix x > 3 \ y leq -x + 2 endmatrixappropriate.\$$

You are watching: Which system of linear inequalities has the point (2 1) in its solution set

## Next Chapter:

SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES – Graphing direct systems

Search

Math Playground

All courses

Pre-Algebra

All courses

Algebra 1

All courses

Discovering expressions, equations and functions

Disextending expressions, equations and functions

Exploring genuine numbers

Exploring actual numbers

How to deal with straight equations

How to deal with direct equations

Visualizing direct functions

Visualizing direct functions

Formulating straight equations

Formulating linear equations

Linear inequalitites

Linear inequalitites

Solution of direct equations and also inequalities

Solution of straight equations and also inequalities

Exponents and exponential functions

Exponents and exponential functions

Factoring and also polynomials

Factoring and also polynomials

Quadratic equations

Quadratic equations

Radical expressions

Radical expressions

Rational expressions

Rational expressions

Algebra 2

All courses

Geometry

All courses

SAT

All courses

ACT

See more: Draw The Lewis Structure For N2 ? N2 Lewis Structure

All courses

Mathworld is licensed by Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationell-licens.