Solving System of Inequalities

s - 10 ≤ 1

• s ≤ 11

• s ≤ 9

• s ≥ 11

• s ≥ 9

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

• Solution

• Not a solution

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

• Solution

• Not a solution

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

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?

• x + y ≤ 8

• x + y ≤ 6

• 2x + 3y ≤ 6

• x + y ≤ 10

• (0, 0), (0, 6), (6, 2), (8, 0)
• (0, 0), (6, 0), (2, 6), (0, 8)

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing.  

• x+y≤300
  7.5x+5.5y≥2000

• x+y<300
  7.5x+5.5y≥2000

• x+y≤300
  7.5x+5.5y≤2000

• x+y>2000
  7.5x+5.5y≤300

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 200

  2x + 9y ≤ 16

• x + y ≥ 200

  9x + 25y ≤ 16

• 9x + 25y ≥ 200

  x + y ≤ 16

Select the graph for y >  -2x - 3

• A

• B

• C

• D

Which of the following equations match the given graph?

• y > 2x - 5

• y ≥ 7/4x + 2

• x < -5

• x > -5