7-5+Graphing+Linear+Inequalites

=Graphing Linear Inequalities= You will learn... 1) How to graph linear inequalities 2)To write and use linear inequalities in real world situations

Steps to Graphing linear inequalities: 1) Isolate the variable y just as you would if you were working with an equation. (Remember to flip the sign if multiplying or dividing by a negative!) Arrange the inequality in slope-intercept form if necessary. 2) Graph the line. Use a solid line ( ______ ) if your inequality sign it less than or equal to or greater than or equal to. Use a dashed line( -- ) if your sign is less than or greater than. 3) In order to see which side of your line needs to be shaded, test the point (0,0) . If (0,0) is a solution of your inequality, shade the side containing (0,0) . If not, shade the other side.

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Real World Problem: Suppose your budget for a party allows you to spend no more than $12 on peanuts and cashews. Peanuts cost $2 a pound and cashews cost $4 a pound. Find 3 possible combinations of peanuts and cashews. Step 1: Relate cost of peanuts plus cost of cashews in less than or equal to total budget.

Step 2: Define Let x= The number of pounds or peanuts Let y= The number of pounds of cashews

Step 3: Write inequality 2x+4y less than or equal to 12