# Systems of inequalities math homework help

Find the coordinates of the vertices formed by the system of inequalities.

*x* + *y* ≤ 9 *y* - 2*x* ≥ -21 *y* ≥ -4*x* + 15

a. (6, -9), (10, -1), (2, 7)

b. (-9,- 6), (-1, 10), (7, 2)

c. (-30, -21), (-6, -9), (6, 15)

d. (-6, -9), (6, -3), (-12, -21)

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Find the minimum value of the region formed by the system of equations and functions below.

y ≥ x - 3

y ≤ 6 - 2x

2x + y ≥ – 3

f(x, y) = 3x + 4y

a. -12

b. -4.5

c. 9

d. 24

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At What point is the maximum value found in the system of inequalities graphed below for the function f(x, y) = x – 2y?

a. (0, 3)

b. (0, 0)

c. (5, 0)

d. (5, 3)

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At what point is the maximum value found in the system of inequalities graphed below for the function f(x, y) = 4x - 3y?

a. (5, 0)

b. (4, 6)

c. (7, 5)

d. (8, 2)

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Choose the system of inequalities whose solution is represented by the graph.

a. x + y > 3; -x + y > - 4

b. -x + y ≥ -4; x + y ≤ 3

c. -2x + y > -4; 2x + y < 3

d. -x + y > -4; x + y < 3

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Choose the system of inequalities whose solution is represented by the graph.

a. y < - 2 ; x < - 3

b. y ≤ – 2 ; x > - 3

c. x ≤ - 2 ; y > - 3

d. x < - 3 ; y < - 3

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Which point is a solution to the system of inequalities below?

x + 2y ≥ 4

y – 2x < 0

a. (1, 2)

b. (4, 7)

c. (0, 3)

d. (-1, 1)

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Which point is not a solution to the system of inequalities shown in the graph?

a. (1, -3)

b. (2, 0)

c. (-4, 2)

d. (0, 0)