Linear Inequality Systems

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

How can I tell if an inequality will have a solid line?

• It has an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.

Match

• y ≤ 2x - 4

• y ≥ 2x - 4

• y < 2x - 4

• y > 2x - 4

Match

• y > -1/5x - 1/2   and  y ≥ -2x - 4

• y > -1/5x - 1/2  and  y ≤ -2x - 4

• y ≥ -1/5x - 1/2   and  y ≤ -2x - 4

• y < -1/5x - 1/2   and  y ≥ -2x - 4

Which system of inequalities represents the graph? (Purple represents the solution set)

• y < 3x - 5
  y ≤ (1/2)x + 3

• y < 3x - 5
  y ≥ (1/2)x + 3

• y > 3x + 5
  y ≤ (1/2)x + 3

• y < 3x - 5
  y < (1/2)x + 3

Which system of inequalities represents the graph? (Purple represents the solution set)

• y < 3x - 5
  y ≤ (1/2)x + 3

• y < 3x - 5
  y ≥ (1/2)x + 3

• y > 3x - 5
  y ≤ (1/2)x + 3

• y < 3x - 5
  y < (1/2)x + 3

Which system of inequalities represents the graph? (Purple represents the solution set)

• y < 3x - 5
  y ≤ (1/2)x + 3

• y > 3x - 5
  y ≥ (1/2)x + 3

• y > 3x + 5
  y ≤ (1/2)x + 3

• y < 3x - 5
  y < (1/2)x + 3

Which system of inequalities represents the graph? (Purple represents the solution set)

• 4x + y ≤ 2
  y < 2x - 3

• y ≤ 4x + 2
  y > 2x + 3

• x + 4y ≤ 8
  y < 2x - 3

• y ≥ (1/4)x + 2
  y ≤ 2x + 3

Match

• y ≥ -x - 1 and y < x + 4

• y < -x - 1 and y ≥ x + 4

• y > -x - 1 and y ≥ x + 4

• y > -x - 1 and y ≥ x + 4

Which region in the graph shown represents the solution to the following system of linear inequalities?
2x - y > 6
3y ≤ x - 6

• Region A

• Region B

• Region C

• Region D