WRITE THE SYSTEM OF INEQUALITIES FOR THE SHADED REGION WORKSHEET

Problem 1 :

Write the system of 2 linear inequalities graphed below.

Solution

Problem 2 :

Write the system of 2 linear inequalities graphed below.

Solution

Problem 3 :

Write the system of 4 linear inequalities graphed below.

Solution

Problem 1 :

Match the graph with the correct system of inequalities.

E) None of these

Solution

Problem 2 :

Find the maximum of the objective function: Z = 9x + 6y given the following constraints:

x + y ≤ 3

x - y ≤ 1

2x + 5y ≤ 10

x ≥ 0

y ≥ 0

A) 9     B) 12     C) 24     D) 36     E) None of these

Solution

Problem 3 :

Which inequality represents the graph to the right?

a) y ≥ 3x + 4          b) y ≤ -3x + 4          c) y > -3x + 4

d) y < 3x + 4

Solution

Problem 4 :

Which inequality represents the graph below?

a) y ≤ -3    b) y > -3     c) x > -3        d) x ≤ -3

Solution

Problem 5 :

Match each system of equations to its graph below.

a) y < 8       x > -3

b) y < 5       y ≥ -7

c) y ≥ -3     x > 5

Solution

Problem 6 :

Which point is a solution to the system graphed to the right?

a) (4, 4)     b) (4, -4)      c) (-4, -4)     d) (-4, 4)

Solution

Problem 7 :

Which point(s) are solution to the system graphed to the right?

A) (-2, -3)       B) (-1, 1)       C) (2, 1)        D) (-4, 0)

Solution