Inequalities Objective: Students will be able to solve, graphing and write inequalities with one variable and apply them to real world situations.

Inequalities Comparison of a variable to a number Solution is a set of numbers not just an individual number Try to have variable on the left side and read from left to right, or read from the variable Greater Than Less Than Greater than or equal to Less than or equal to

Solving Solve like a normal equation Move everything away from the variable Only difference is when you multiply or divide by a negative the sign changes directions

Examples

Graphing and Writing Equations Depending on the type of inequality depends on if the circle is open or closed Open if only greater than or less than Closed if greater than or equal to, less than or equal to Put the correct circle on top of the number you are comparing to If variable is on the left the inequality points in the direction you should draw the arrow Less than is left Greater than is right

Continued Writing the equation Always put variable on the left Number it is at on the right Inequality is the same direction as the arrow If arrow is left then less than If arrow is right then greater than If solid put an equals sign under symbol If open do not

Examples

Compound Inequalities Means there is an inequality sign on both sides of the variable Means that both parts need to be true or either if separated Usually inequality is between 2 numbers

To Solve Instead of just moving things to one side your inequality is divided into 3 parts Whatever you do in the middle you also have to do to the 2 outside parts

To graph You have to plot both points Determine if they are open or closed circle Draw a line between them

Examples

Homework Look at worksheet handed out day of test Pg 308 3,4,7