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3.3

3.3. Systems of Inequalities. You can solve a system of linear inequalities by graphing. Every point in the region of overlap is a solution of both inequalities and is therefore a solution of the system. Solve the system of inequalities. Graph each inequality.

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3.3

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  1. 3.3 Systems of Inequalities

  2. You can solve a system of linear inequalities by graphing. Every point in the region of overlap is a solution of both inequalities and is therefore a solution of the system.

  3. Solve the system of inequalities. Graph each inequality. Every point in the purple region where the red and blue regions intersect is a solution of the system

  4. Solving a Linear Absolute Value System Solve the system of inequalities

  5. Suppose your drama club is planning a production that will cost $525 for the set and $150 per performance. A sold-out performance will bring in $325. Write an equation for the cost C and an equation for the income I for p sold-out performances. Find how many sold-out performances will make the cost equal to the income. 525 is cost for set 150 per performance C = 525 + 150X X is number of performances Gain 325 per performance I = 325X When will they be equal? 525+150X = 325X X = 3

  6. Suppose you bought eight oranges and one grapefruit for a total of $4.60. Later that day, you bought six oranges and three grapefruits for a total of $4.80. Now you want to find the price of each orange and of each grapefruit. Write an equation for each purchase. Solve the system of equations. 8x + y = 4.60 6x + 3y = 4.80 X = .50 Y = .60

  7. A boat can travel 24 mi in 3 h when traveling with a current. Against the same current, it can travel only 16 mi in 4 h. Find the rate of the current and the rate of the boat in still water. 24 = 3(x+c) 16 = 4(x-c) X is the rate of the boat in still water C is the current, now solve X= 6 and C = 2

  8. Hw pg 132 2 -28 even

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