Linear Inequalities Represent Constraints

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

Which of the following inequalities matches the given graph?

• x ≥ -1

• x ≤ -1

• x > -1

• x < -1

Which of the following inequalities matches the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

What do you call the area where all the shading overlaps?

• the answer

• the feasible region

• the void

• the objective function

Which system of inequality is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

Which are vertices of the feasible region?

• (0, 3) (3, 0) (5, 8)

• (0, 6) (3, 5) (6, 5)

• (3, 3) (8, 5) (5, 8)

• (0, 5) (6, 0) (3, 3)

Set of all points that satisfy all of the problem's resource restrictions

• extreme points

• intercepts

• feasible region

• graphical solution

It requires that each variables to be greater than or equal to zero

• maximization

• minimization

• inequality

• non-negativity constraints

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 region represents more than $2000 made?

• Red

• Blue

• Purple (red and blue overlap)

• Non Shaded

Linear programming

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

• an apparent solution that must be rejected because it does not satisfy the original equation

• written |x|, the distance the number is from 0 on a number line

• the intersection of the graphs in a system of constraints