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Warmups

Warmups. Graph: 1. x – 3y = 6 2. y = -2x + 4 3. y – 3 = 1(x + 2) 4. y = -2 5. x = 4. Working backwards…. Given the graph, you come up with inequality involving absolute value… |x-middle #| Distance to middle. and? or?. TOO.

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Warmups

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  1. Warmups • Graph: 1. x – 3y = 6 2. y = -2x + 4 3. y – 3 = 1(x + 2) 4. y = -2 5. x = 4

  2. Working backwards… • Given the graph, you come up with inequality involving absolute value… |x-middle #| Distance to middle and? or?

  3. TOO • Given the graph, you come up with inequality involving absolute value… |x-middle #| Distance to middle and? or?

  4. 7-8 Graphing Inequalities with 2 Variables Objective: To graph an inequality on a coordinate plane.

  5. Steps to Graphing Inequalities Write on “Notes” Paper • Dotted or Solid Line? • Graph line as if it said “=“ *Review graphing see Chapter 6* • Choose a test point that is not on the line *Usually (0,0) • Shade appropriate side *If “true” shade where test point is *If “false” shade opposite side < or > < or >

  6. 1. y < -2x + 3 • Dotted • b = 3, m = -2 • (0,0) 0 < -2(0) + 3 0 < 0 + 3 0 < 3 • True (Shade this side)

  7. 2. 4x + 2y > 8 • Solid • (2,0) (0,4) • (0,0) 4(0) + 2(0) > 8 0 + 0 > 8 0 > 8 • False (Shade this side)

  8. 3. 2x – 3y < 12 • Dotted • (6,0) (0,-4) • (0,0) 2(0) - 3(0) < 12 0 + 0 < 12 0 < 12 • True (Shade this side)

  9. 4. y > 3x • Dotted • b = 0, m = 3/1 • (1,1) 1 > 3(1) 1 > 3 • False (Shade this side)

  10. 5. y < -3 • Solid • y = -3 • (0,0) 0 < -3 • False (Shade this side)

  11. 6. y – 2 < -1/2(x + 4) • Solid • (-4,2) m = -1/2 • (1,1) 1 -2 < -1/2(1 + 4) -1 < -1/2(5) -1 < - 2.5 • False (Shade this side)

  12. TOO • 3x – y > 6 • y < -3/4x + 5

  13. Homework • Pg. 440 #23-37 odd

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