A mechanism of straight inequalities in two variables is composed of at least two direct inequalities in the same variables. The systems of a linear inequality is the ordered pair that is a systems to every inequalities in the system and the graph of the linear inequality is the graph of all services 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 time in the exact same coordinate aircraft and 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 only the solution region is shaded which provides it less complicated to view which an ar is the solution region

*

Video lesson

Graph the system of inequalities

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




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

Next Chapter:


EXPONENTS and also EXPONENTIAL attributes – properties of exponents
Search
Math Playground
All courses
Pre-Algebra
All courses
Algebra 1
All courses
Discovering expressions, equations and also functions
Discovering expressions, equations and also functions
Exploring real numbers
Exploring real numbers
How to solve direct equations
How to solve direct equations
Visualizing linear functions
Visualizing direct functions
Formulating linear equations
Formulating straight equations
Linear inequalitites
Linear inequalitites
Systems of direct equations and inequalities
Systems of direct 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: What Is The Repeat Unit In Starch Consists Of Repeating Units Of:

All courses

*
chrischona2015.org is licensed by Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationell-licens.