Inequalities and Solving Inequalities

Which system of inequalities describes the graph?

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

• 30 + 20x < 15 + 30x

• 30x + 20 < 15x + 30

• 30 + 20x > 15 + 30x

• 30x + 20 > 15x + 30

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. Which systems of inequalities represents this situation?

• 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

You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your math tutoring job pays $7.50 per hour and your job as a pet sitter pays $6 per hour. You can work at most 7 hours tutoring. Which system of linear inequalities to models the situation?

• s + t < 20
  
  6s + 7.50t ≥ 92
  
  t >7

• s + t ≤ 20
  
  6s + 7.50t ≥ 92
  
  t ≤ 7

Identify the graph represented by the following system of

inequalities.

2x - y > 4

4x + 2y < 6

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The owner of Mark's Meat Market orders beef and chicken. He wants to but at least 50 pounds of meat but cannot spend more than $300. Beef is $3 a pound and chicken is $2 a pound.
Which system of inequalities models this situation?

A radio station is giving away tickets to a concert. There are $10 tickets and $20 tickets. They want to give away at least 20 tickets but want to spend at most $280. Let x = the number of $10 tickets Let y = the number of $20 tickets Which system of inequalities models the situation?

Solve the system of inequalities by graphing.

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Solve the system of inequalities by graphing.

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