HA - Systems of Linear Inequalities in Two Variables Lesson

satprep_LessonTopBanner.png 

Systems of Linear Inequalities in Two Variables

Two variable linear inequalities are best used by solving for one variable on one side of the equation and the other variable and constant on the other side of the equation.  All of the rules for moving variables from one side of the equation to the other hold true for these equations.  

Rules: 

Arrow image: Whatever you do to one side of an equation, you do to the other

and

Arrow image: When multiplying or dividing by a negative number, flip the inequality sign 

Example:

y - x - 8 >12

Solve for y. Isolate y on one side of the equation.

y - x + 8 - 8 > 12 + 8

Add 8 to both sides to combine like terms

y - x > 20

Add the like terms, remember to bring down the inequality sign.

y - x + x > 20 + x

Add x to both sides

y > 20 + x

Add like terms on both sides

Check your knowledge of two variable inequalities by solving for y.

SATPrep_LessonBottomBanner.pngIMAGES CREATED BY GAVS OR OPENSOURCE