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System of Linear Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
6.2
Systems of Linear Inequalities in Two Variables
System of Linear Inequalities
Definition
A combination of two or more linear inequalities.
Determine The Appropriate Inequality for a Certain Situation
Example of Situation
Linear Inequality
\(y\)
is greater than
\(x\)
\(y>x\)
\(y\)
is less than
\(x\)
\(y < x \)
\(y\)
is not less than
\(x\)
\(y\geq x\)
\(y\)
is not more than
\(x\)
\(y\leq x\)
\(y\)
is at least
\(k\)
times
\(x\)
\(y\geq kx\)
\(y\)
is at most
\(k\)
times
\(x\)
\(y\leq kx\)
Maximum of
\(y\)
is
\(k\)
\(y\leq k\)
Minimum of
\(y\)
is
\(k\)
\(y\geq k\)
Sum of
\(x\)
and
\(y\)
is greater than
\(k\)
\(x+y >k \)
Difference between
\(y\)
and
\(x\)
is less than
\(k\)
\(y-x <k\)
\(y\)
is more than
\(x\)
by at least
\(k\)
\(x-y \geq k \)
Determine and Shade The Region That Satisfies a System of Linear Inequalities
Mark the region involved for each linear inequality with different and easily spotted markings.
Identify the common region for all the markings inolved.
Shade the common region completely. Make sure that the shading is not outside the common region.
Example
Shade the region
Problems Involving System of Linear Inequalities in Two Variables
Example
Systems of Linear Inequalities in Two Variables
6.2
Systems of Linear Inequalities in Two Variables
System of Linear Inequalities
Definition
A combination of two or more linear inequalities.
Determine The Appropriate Inequality for a Certain Situation
Example of Situation
Linear Inequality
\(y\)
is greater than
\(x\)
\(y>x\)
\(y\)
is less than
\(x\)
\(y < x \)
\(y\)
is not less than
\(x\)
\(y\geq x\)
\(y\)
is not more than
\(x\)
\(y\leq x\)
\(y\)
is at least
\(k\)
times
\(x\)
\(y\geq kx\)
\(y\)
is at most
\(k\)
times
\(x\)
\(y\leq kx\)
Maximum of
\(y\)
is
\(k\)
\(y\leq k\)
Minimum of
\(y\)
is
\(k\)
\(y\geq k\)
Sum of
\(x\)
and
\(y\)
is greater than
\(k\)
\(x+y >k \)
Difference between
\(y\)
and
\(x\)
is less than
\(k\)
\(y-x <k\)
\(y\)
is more than
\(x\)
by at least
\(k\)
\(x-y \geq k \)
Determine and Shade The Region That Satisfies a System of Linear Inequalities
Mark the region involved for each linear inequality with different and easily spotted markings.
Identify the common region for all the markings inolved.
Shade the common region completely. Make sure that the shading is not outside the common region.
Example
Shade the region
Problems Involving System of Linear Inequalities in Two Variables
Example
Chapter : Linear Inequalities in Two Variables
Topic : System of Linear Inequalities in Two Variables
Form 4
Mathematics
View all notes for Mathematics Form 4
Related notes
Linear Inequalities in Two Variables
Quadratic Functions and Equations in One Variable
Number Bases
Statements
Arguments
Intersection of Sets
Union of Sets
Combined Operations on Sets
Chapter 5: Network in Graph Theory
Network
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