Solution of Systems of Inequality

Is (-2, 0) a solution to the system?

• Solution

• Not a solution

Which inequality is shown in the graph?

• y < 2x + 1

• y < -2x + 1

• y ≤ 2x + 1

• y ≤ -2x + 1

What is the inequality symbol for the equation of this boundary line?

• less than

• less than or equal to

• greater than

• greater than or equal to

Match

• y < x−2 
  y < 3

• y > -x+2
  y > 3

• y < -x+2
  y < 3

• y < -x+2
  y > 3

The overlap shaded region is the solution set to which system of inequalities?

• A

• B

• C

• D

The overlap shaded region is the solution to which system of inequalities?

• A

• B

• C

• D

The shaded region is the solution to which system of inequalities?

• A

• B

• C

• D

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

• x + y ≥ 6
  32x + 20y ≤ 150

• x + y ≥ 632
  x + 20y ≥ 150

• x + y ≤ 6
  32x + 20y ≤ 150

• x + y ≤ 6
  32x + 20y ≥ 150

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

• 2x + 3y > 100

  x + y ≤ 40

• 100x + 2y > 3

  x + y ≤ 40

• 100x + 40y > 100

  3x + 2y ≤ 40

• 3x + 2y > 100

  x + y ≤ 40

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

• x + y < 10

  2x + 3y ≥ 20

• x + y ≤ 10

  2x + 3y ≥ 20

• x + y ≤ 10

  2x + 3y > 20

• x + y < 10

  2x + 3y > 20