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  1. • Write a system of inequalities to represent this situation. • Graph the system of inequalities on the grid. • Give three possible combinations for buying hamburgers and chicken for your summer bash. • Justify your answers.

  2. Each bowtie costs $2, and each pocket-‐protector costs $1. He wants to buy at least 15 items with this card, with at least 2 bowties and 5 pocket protectors. Let's define some variables and set up a system of inequalities that represents this scenario. a.

  3. Graph the solution to this system of inequalities on the set of axes below. Label the solution with an S. Marta claims that selling 30 adult tickets and 80 child tickets will result

  4. Solve a System of Linear Inequalities by Graphing. The solution to a single linear inequality is the region on one side of the boundary line that contains all the points that make the inequality true. The solution to a system of two linear inequalities is a region that contains the solutions to both inequalities.

  5. To sketch a graph of a linear inequality, follow these simple steps. 1. Sketch the graph of the corresponding Linear equation using a dashed line for < or > and a solid tine for or ž. Thus, separating the coordinate plane into two half planes. 2. Pick a point in each of the half planes and test each to find which one is a solution to

  6. Graphing the Solutions of a System of Linear Inequalities Step 1. Graph each inequality in the system on the same set of axes. Step 2. The solutions of the system are the points common to the graphs of all the inequalities in the system. EXAMPLE 1 Graph the solutions of the system: e 3x Ú y x + 2y … 8 Solution We begin by graphing each ...

  7. To graph a system of linear inequalities, do the following for each inequality in the system: • Graph the line that corresponds to the inequality. Use a dashed line for an inequality with<or>and a solid line for an inequality with≤or≥.