Practise MYP Extended Mathematics questions on 3.1 Systems of Inequalities and review the explanations to check your understanding.
Use these questions for topic practice and to find ideas you want to revisit in your notes or lessons.
A feasible region is defined by the following constraints: , , , and . Find the coordinates of the vertex that is the intersection of the two non-axis boundary lines.
Solve the inequality for :
A bakery makes loaves of bread and cakes. Each loaf needs 3 cups of flour and each cake needs 2 cups. The bakery has a maximum of 60 cups of flour available. Which inequality represents this constraint?
![ A coordinate plane showing a dashed line that intersects the y-axis at 3 and the x-axis at 4. The region below and to the left of the line, including the origin (0,0), is shaded. ] Identify the inequality representing the shaded region.
In a linear programming maximization problem with the objective function and constraints , what is the value of the objective function at the vertex representing no production ()?
(4, 2)
(2, 4)
(0, 4)
(6, 0)
x > 14
x < -10
x < 14
x > -10
