System Three Linear Inequalities

the intersection of the graphs in a system of constraints

• feasible region

• bounded region

• unbounded region

Which inequality matches the picture shown?

• y < -1/2 x + 5

• y < -1/2 x + 5

• y > -1/2 x + 5

• y > -1/2 x + 5

Choose the correct inequality for this graph.

Lisa gives child(x) and adult(y) haircuts in her salon. She charges $10 for a child and $40 for an adult haircut. Her goal is to make at least $1000 per week and work no more than 40 hours. The shaded region of the graph represents the possible combinations of adult and child haircuts that will allow her to meet her goal. Which combination represents her maximum profit?

• 10 adult haircuts and 60 child haircuts

• 20 adult haircuts and 40 child haircuts

• no adult haircuts and 80 child haircuts

• 40 adult haircuts and no child haircuts

• (1,3)

• (2,1)

• (3,4)

• (6,2)

Which is a solution to the system of inequalities?

• (4, -2)

• (4, 6)

• (-4, 2)

• (6, -2)

• Yes, it is a solution.

• No, it is not a solution.

Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2

Diagram 2 shows two straight lines on a Cartesian plane. Which of the following regions define linear inequalities

y ≤ x + 5 and y ≥ 2 − x?

• I

• II

• III

• IV

The diagram shows a shaded region that satisfies three inequalities. State an inequality other than x < 4 and y ≥ −x.

• x ≤ o

• x ≥ 0

• y ≤ 0

• y ≥ 0