Math 55

11/22/2020 Section 3.7 Suggested Homework-Natalie Banks

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Student: Natalie Banks Date: 11/22/20

Instructor: Sam Pearsall Course: Math 55, Oct-Dec F20

Assignment: Section 3.7 Suggested Homework

Determine whether the ordered pair is a solution of the inequality.

( , ); x y < − 7 3 9 + − 6

In this case, is the ordered pair a solution?

No

Yes

Determine whether the ordered pair is a solution of the inequality.

( , ); x y− 5 4 2 − > − 4

Is the ordered pair a solution of the inequality?

No

Yes

Graph the inequality on a plane.

y > x6

Use the graphing tool on the right to graph the inequality.

-10 -8 -6 -4 -2 2 4 6 8 10

-10 -8 -6 -4 -2

2 4 6 8

10

x

y

YOU ANSWERED:

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

11/22/2020 Section 3.7 Suggested Homework-Natalie Banks

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4.

5.

Graph the inequality.

y < x + 3

Use the graphing tool on the right to graph the inequality.

-10 -8 -6 -4 -2 2 4 6 8 10

-10 -8 -6 -4 -2

2 4 6 8

10

x

y

YOU ANSWERED:

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Graph the inequality on a plane.

y > x − 3

Use the graphing tool on the right to graph the inequality.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

11/22/2020 Section 3.7 Suggested Homework-Natalie Banks

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6.

7.

Graph the inequality on a plane.

x y < + 2

Use the graphing tool on the right to graph the inequality.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Graph the inequality on a plane.

x y2 + 3 ≤ 6

Use the graphing tool on the right to graph the inequality.

-20 -16 -12 -8 -4 4 8 12 16 20

-20

-16

-12

-8

-4

4

8

12

16

20

x

y

11/22/2020 Section 3.7 Suggested Homework-Natalie Banks

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8.

9.

Graph the inequality on a plane.

y x > 5 − 6 30

Use the graphing tool on the right to graph the inequality.

-20 -16 -12 -8 -4 4 8 12 16 20

-20

-16

-12

-8

-4

4

8

12

16

20

x

y

Graph the inequality on a plane.

x x y4 − 3 ≤ 7 +

Use the graphing tool on the right to graph the inequality.

-20 -16 -12 -8 -4 4 8 12 16 20

-20

-16

-12

-8

-4

4

8

12

16

20

x

y

11/22/2020 Section 3.7 Suggested Homework-Natalie Banks

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10.

11.

Graph the inequality on a plane.

x < − 6

Use the graphing tool on the right to graph the inequality.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Graph the inequality.

y > − 2

Use the graphing tool on the right to graph the inequality.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

11/22/2020 Section 3.7 Suggested Homework-Natalie Banks

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Graph the inequality.

x y3 + 4 ≤ 12

Use the graphing tool on the right to graph the inequality.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Match the graph with one of the appropriate inequalities.

Choose the correct answer below.

5x − 2y < 10

2x ≥ 4y − 8

y + x ≤ 2

8y > 10 − 2x -6 -4 -2 2 4 6

-6

-4

-2

2

4

6

x

y

Graph the system of inequalities. Find the coordinates of any vertices formed.

y x≥ y x≤ − + 18

Use the graphing tool to graph the system.

The coordinates of the vertex are . (Type an ordered pair.)

-20 -16 -12 -8 -4 4 8 12 16 20

-20

-16

-12

-8

-4

4

8

12

16

20

x

y

11/22/2020 Section 3.7 Suggested Homework-Natalie Banks

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15.

16.

Graph the system of inequalities.

y > x y < x− + 5

Use the graphing tool to graph the system.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Graph the system of inequalities. Find the coordinates of any vertices formed.

x ≤ 4 y ≥ − 2x + 1

Use the graphing tool to graph the system.

The coordinates of the vertex are . (Type an ordered pair.)

-20 -16 -12 -8 -4 4 8 12 16 20

-20

-16

-12

-8

-4

4

8

12

16

20

x

y

11/22/2020 Section 3.7 Suggested Homework-Natalie Banks

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17.

18.

Graph the system of inequalities. Find the coordinates of any vertices formed.

x y+ ≤ 3 x y− ≤ 10

Use the graphing tool to graph the system.

The coordinates of the vertex are . (Type an ordered pair. Type an integer or a fraction.)

-20 -16 -12 -8 -4 4 8 12 16 20

-20

-16

-12

-8

-4

4

8

12

16

20

x

y

Graph the system of inequalities. Find the coordinates of any vertices formed.

y ≤ 4x + 1 y ≥ − 4x + 1 x ≤ 4

Use the graphing tool to graph the system.

The coordinates of the vertex/vertices are . (Type an ordered pair. Use a comma to separate answers as needed.)

-20 -16 -12 -8 -4 4 8 12 16 20

-20

-16

-12

-8

-4

4

8

12

16

20

x

y

11/22/2020 Section 3.7 Suggested Homework-Natalie Banks

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19. Graph the system of inequalities. Find the coordinates of any vertices formed.

x y , + 2 ≤ 12 x y ,2 + ≤ 18

x 0,≥ y 0≥

Use the graphing tool to graph the system.

The coordinates of the vertex/vertices are . (Type an ordered pair. Type an integer or a fraction.Use a comma to separate answers as needed.)

-20 -16 -12 -8 -4 4 8 12 16 20

-20

-16

-12

-8

-4

4

8

12

16

20

x

y