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Published byCalvin Flowers Modified over 6 years ago

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Do Now 1)Use the graph to find the solution to the system. x – y = 5 3x + y = 3

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2)Use the graph to find the solution to the system. 2y = 4x – 12 y + x = 3

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Graphing Systems w/ Calculators 1)Hit Y= Enter the first equation into Y 1 Enter the second equation into Y 2 2) Hit 2 nd GRAPH 3) Scroll up or down until you find the point where Y 1 and Y 2 are equal.

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Graphing Linear Inequalities

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Solutions An ordered pair (x,y) is a solution if it makes the inequality true. Are the following solutions to 3x + 2y ≥ 2 ? (0,0)(2,-1)(0,1) 3(0) + 2(0) ≥ 2 0 ≥ 2 Not a solution 3(2) + 2(-1) ≥ 2 4 ≥ 2 Is a solution 3(0) + 2(1) ≥ 2 2 ≥ 2 Is a solution

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Steps to Graphing Linear Inequalities 1. Solve for y, graph points, don’t connect yet. * reverse if you divide both sides by a negative 2. If > or <, the line should be dotted. If > or <, the line should be solid. ** open circle = dotted line, closed circle = solid line 3. If > or >, shade UP from the line. If < or <, shade DOWN from the line.

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The graph of an inequality is the graph of all the solutions of the inequality. All of the shaded points are solutions to the inequality. Important Note

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3)Graph the inequality. y <

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4)Graph the inequality. 3x + 2y ≥ 2

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Homework Classwork Packet #’s 8 & 9 Extra Help: Today 2:00 – 3:00

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5)Graph the inequality. x – 3y > 6

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6)Graph the inequality. y ≤ 6

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7)Graph the inequality. x ≥ -1

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