A system of linear inequalities in two variables is composed of at least two straight inequalities in the exact same variables. The solution of a straight inequality is the ordered pair the is a solution to every inequalities in the system and also the graph that the straight inequality is the graph of all remedies of the system.

Example

Graph the system of inequalities

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

Graph one heat at the moment in the very same coordinate aircraft and the shade the half-plane the satisfies the inequality.

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

Usually just the solution an ar is shaded which renders it easier to check out which region is the equipment region

## Video lesson

Graph the mechanism of inequalities

$$\left{eginmatrix x > 3 \ y leq -x + 2 endmatrix ight.\​$$

You are watching: Which system of inequalities does the graph represent

## Next Chapter:

SYSTEMS OF straight EQUATIONS and INEQUALITIES – Graphing direct systems
Search
Math Playground
All courses
Pre-Algebra
All courses
Algebra 1
All courses
Discovering expressions, equations and also functions
Discovering expressions, equations and functions
Exploring actual numbers
Exploring actual numbers
How to solve straight equations
How come solve direct equations
Visualizing direct functions
Visualizing linear functions
Formulating linear equations
Formulating direct equations
Linear inequalitites
Linear inequalitites
Systems of direct equations and inequalities
Systems of straight equations and inequalities
Exponents and also exponential functions
Exponents and also 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: Knights Of The Knights Of The White Camellia Opposed In Arkansas Date(S)

All courses

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