# Essential Question: How do you solve a system of inequalities by graphing?

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Essential Question: How do you solve a system of inequalities by graphing?

 Solving a system of inequalities  Graph and shade both inequalities  Solution is where the two shaded regions meet  It helps if you either: ▪ Use two different color pens for shading ▪ Use two different techniques (up & down lines, left & right lines) for shading

 x – 2y > 6 y < - 3 / 2 x + 5  Solve both inequalities for y

 x – 2y > 6 y < - 3 / 2 x + 5  Solve both inequalities for y  y < ½ x – 3 y < - 3 / 2 x + 5  Graph each equation on the same grid

 x – 2y > 6 y < - 3 / 2 x + 5  Solve both inequalities for y  y < ½ x – 3 y < - 3 / 2 x + 5  Graph each equation on the same grid

 Your turn:  y -4x + 2  Solve both inequalities for y   Graph each equation on the same grid

 Your turn:  y -4x + 2  Solve both inequalities for y  y -4x + 2  Graph each equation on the same grid

 Assignment  Page 136  Problems 4 – 15, all  For problems 4 - 6, you’re simply substituting (-3, 3) for (x, y) and determining if the inequalities both hold true or not.

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