Linear Inequalities Vocabulary

Solid or dashed line?  
Y ≥

• Solid

• Dashed

Which of the following equations match the given graph?

• y ≤ -5/4 x + 3

• y ≥ -5/4 x + 3

• y < -5/4 x + 3

• y > -5/4 x + 3

Which choice symbolizes "either less than or equal to"?

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week. It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents the amount of time available?

• 2x + 3y ≤ 18

• x + y ≤ 6

• x + y ≤ 9

• 3x + 2y > 18

Nerolin 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

Justin charges $11 to mow a small lawn and $26 to mow a large lawn. He would like to make at least $130. Write an inequality that describes the situation. Let x = # of small lawns mowed and Let y = # of large lawns mowed

• 11x + 26y ≥ 130

• 11x + 26y > 130

• 11x + 26y ≤ 130

• 11x + 26y < 130

Shade above or below?
y ≥

• Above

• Below

conditions given to variables, often expressed as linear inequalities

• constraints

• elimination method

• vertex

the intersection of the graphs in a system of constraints

• feasible region

• bounded region

• unbounded region

the process of finding the maximum or minimum values of a function for a region defined by inequalities

• linear programming

• system of inequalities

• ordered triple