Systems of Linear Inequalities Feasible Regions

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

This system has an infinite number of solutions, TRUE or FALSE?

• TRUE

• FALSE

the intersection of the graphs in a system of constraints

• feasible region

• bounded region

• unbounded region

A region that is bounded when the graph of a system of constraints is a polygonal region

• bounded region

• feasible region

• unbounded region

conditions given to variables, often expressed as linear inequalities

• constraints

• elimination method

• vertex

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

a system of inequalities that forms a region that is open

• unbounded region

• bounded region

• feasible region

a set of inequalities with the same variables

• system of inequalities

• system of equations

• inconsistent system

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4

Which point below is NOT a part of the solution set?

• (0, 0)

• (0, 1)

• (-100, -3)

• (5, 10)