Solving Systems of Linear Inequalities Answers…

1

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Which graph shows the solution to the system of linear inequalities?

A

Option

B

Option

C

Option

D

Option

2

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Which graph shows the solution to the system of linear inequalities?x + 3y > 6y ≥ 2x + 4

A

Option

B

Option

C

Option

D

Option

3

Which system of linear inequalities has the point (3, –2) in its solution set?

A

y less-than negative 3. y less-than-or-equal-to two-thirds x minus 4

B

y greater-than negative 3. y greater-than-or-equal-to two-thirds x minus 4

C

y less-than negative 3. y greater-than-or-equal-to two-thirds x minus 4

D

y greater-than negative 2. y less-than-or-equal-to two-thirds x minus 4

4

Which ordered pair makes both inequalities true?y > –2x + 3y < x – 2

A

(0,0)

B

(0,–1)

C

(1,1)

D

(3,0)

5

Which graph shows the solution to the system of linear inequalities?y –3x + 1

A

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.

B

On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.

C

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.

D

On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.

6

Which graph shows the solution to the system of linear inequalities?x – 4y < 4y < x + 1

A

Option

B

Option

C

Option

D

Option

7

Question text not available

A

y > x – 2 and y < x + 1

B

y x + 1

C

y x + 1

D

y > x – 2 and y < x + 1

8

Which ordered pair makes both inequalities true? y x

A

(–3, 5)

B

(–2, 2)

C

(–1, –3)

D

(0, –1)

9

–12–346

A

–12

B

–3

C

4

D

6

10

Which ordered pair makes both inequalities true?y > –3x + 3y > 2x – 2

A

(1,0)

B

(–1,1)

C

(2,2)

D

(0,3)

11

Question text not available

A

y > x – 2 and y < x + 1

B

y x + 1

C

y x + 1

D

y > x – 2 and y < x + 1

12

Which graph shows the solution to the system of linear inequalities?y –3x + 1

A

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.

B

On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.

C

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.

D

On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.

13

[BLANK]

A

–12

B

–3

C

4

D

6

14

Which ordered pair makes both inequalities true? y x

A

(–3, 5)

B

(–2, 2)

C

(–1, –3)

D

(0, –1)

15

Which graph shows the solution to the system of linear inequalities?y > x + 3y ≤ x + 2

A

Option

B

Option

C

Option

D

Option

16

Which graph shows the solution to the system of linear inequalities?

A

Option

B

Option

C

Option

D

Option

17

Which system of linear inequalities has the point (3, –2) in its solution set?

A

y less-than negative 3. y less-than-or-equal-to two-thirds x minus 4

B

y greater-than negative 3. y greater-than-or-equal-to two-thirds x minus 4

C

y less-than negative 3. y greater-than-or-equal-to two-thirds x minus 4

D

y greater-than negative 2. y less-than-or-equal-to two-thirds x minus 4

18

Which graph shows the solution to the system of linear inequalities?x – 4y < 4y < x + 1

A

Option

B

Option

C

Option

D

Option

19

Which graph shows the solution to the system of linear inequalities?y ≥ 2x + 1y ≤ 2x – 2

A

Option

B

Option

C

Option

D

Option

20

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.

A

y > x + 3 and 3x – y > 2

B

y > x + 3 and 3x – y > 2

C

y > x + 3 and 3x + y > 2

D

y > x + 3 and 2x – y > 2

Solving Systems of Linear Inequalities Answers

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