Graphing Linear Inequalities - Nicole Forrester
Graphing Linear Inequalities Name___________________________________
2 variables
|1.) graph x > 2 on a number line |5.) graph x ( 0 and y > 3x |8.) Write the system of inequalities that is graphed |
| | |here. |
|[pic] |[pic] |[pic] |
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|2.) graph x > 2 on a coordinate plane | | |
|[pic] |6.) graph | |
| |y ( -x and y > 1 and x < -1 | |
|3.) graph x > 2 and y < 3 | | |
| |[pic] | |
|[pic] | | |
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| |7.) graph y ( x – 3 |9.) Write the system of inequalities that is graphed |
|4.) graph y ( x + 2 and y ( 1 |y < -x + 2 |here. |
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|[pic] |[pic] |[pic] |
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|10.) Write the system of inequalities that is graphed|Cale is throwing a party. One package of wings costs |Andrew only has $14 for lunch. He wants to have at |
|here. |$7 (independent variable). Hot dogs cost $4 per |least one sandwich and one drink. If the deli sells |
| |pound. His budget must remain under $40, and Cale |sandwiches for $5 and drinks for $2, what combination |
|[pic] |knows he’ll buy at least 5 pounds of hot dogs. |could Andrew have for lunch? |
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| |12.) Cale writes the system of inequalities that |15.) Come up with some or all of the possibilities |
| |represents his food situation (because that’s the kind|for Andrew |
| |of stuff Cale does). What is it? | |
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|11.) EOCT practice: Write the system of | | |
|inequalities that is graphed here. | | |
|[pic] | | |
| | |16.) Let the number of sandwiches be the independent |
|y > -x + 1 and y > x – 5 | |variable. Write the system of inequalities for this |
|y > x + 1 and y > x – 5 | |situation. (hint: there are 3 inequalities) |
|y > -x + 1 and y > -x – 5 | | |
|D.) y > x + 1 and y > -x – 5 | | |
| |13.) Based on this graph, what are two examples of | |
| |purchases he can make? | |
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| |[pic] | |
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| | |17.) Graph the system of inequalities |
| | |[pic] |
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| | |18.) What are all the possible solutions to Andrew’s|
| |14.) Show that your answers in #13 make sense with |lunch situation? Where is this on the graph? |
| |your inequalities in #12. | |
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