Interactive multiple-choice quiz: Graphing Linear Inequalities ريفيل

A

A solid horizontal line at $y = \frac{1}{2}$ with shading below.

B

A dashed horizontal line at $y = \frac{1}{2}$ with shading below.

C

A dashed horizontal line at $y = \frac{1}{2}$ with shading above.

D

A solid horizontal line at $y = \frac{1}{2}$ with shading above.

A

x < -10

B

x ≤ -10

C

x > -10

D

x ≥ -10

A

b ≤ 7

B

b ≥ 7

C

b ≥ 25

D

b ≤ 25

A

x < 75

B

x ≤ 75

C

x ≥ 75

D

x > 75

A

x < 6

B

x > 6

C

x ≤ 6

D

x ≥ 6

A

3.7 + g ≥ 5

B

5 + g ≤ 3.7

C

3.7 + g ≤ 5

D

g - 3.7 > 5

A

g ≥ 1.3

B

g ≤ 1.3

C

g < 1.3

D

g > 8.7

A

7.5x < 60

B

60x ≤ 7.5

C

7.5x ≥ 60

D

x + 7.5 ≥ 60

A

6 hours

B

7 hours

C

9 hours

D

8 hours

A

x ≤ -27.5

B

x < -27.5

C

x > -27.5

D

x ≥ -27.5

A

x < -23

B

x ≤ -23

C

x ≥ -23

D

x > -23

A

{x | x > 13}

B

{x | x < 13}

C

{x | x > -13}

D

{x | x < -13}

A

A solid circle at -5 with an arrow pointing to the right.

B

An open circle at -5 with an arrow pointing to the left.

C

An open circle at -5 with an arrow pointing to the right.

D

A solid circle at -5 with an arrow pointing to the left.

A

A solid circle at -2 with an arrow pointing to the right.

B

A solid circle at -2 with an arrow pointing to the left.

C

An open circle at -2 with an arrow pointing to the right.

D

An open circle at -2 with an arrow pointing to the left.

A

A solid circle at 5 with an arrow pointing to the right.

B

An open circle at 5 with an arrow pointing to the right.

C

An open circle at 5 with an arrow pointing to the left.

D

A solid circle at 5 with an arrow pointing to the left.

A

A solid circle at -6 with an arrow pointing to the left.

B

A solid circle at -6 with an arrow pointing to the right.

C

An open circle at -6 with an arrow pointing to the right.

D

An open circle at -6 with an arrow pointing to the left.

A

An open circle at 7 with an arrow pointing to the left.

B

A solid circle at 7 with an arrow pointing to the left.

C

An open circle at 7 with an arrow pointing to the right.

D

A solid circle at 7 with an arrow pointing to the right.

A

An open circle at 6 with an arrow pointing to the left.

B

A solid circle at 6 with an arrow pointing to the left.

C

A solid circle at 6 with an arrow pointing to the right.

D

An open circle at 6 with an arrow pointing to the right.

A

m ≤ 7

B

m < 7

C

m > 7

D

m ≥ 7

A

p ≤ 9

B

p < 9

C

p > 9

D

p ≥ 9

A

r ≤ 11

B

r < 15

C

r > 15

D

r ≥ 15

A

t > -5

B

t < -5

C

t ≤ -5

D

t ≥ -5

A

5x - 10 ≥ 40

B

10x + 5 ≤ 40

C

5x + 10 ≤ 40

D

5x + 10 > 40

A

-x/2 - 17 ≥ 7

B

-x/2 - 17 < 7

C

x/2 - 17 > 7

D

-x/2 + 17 < 7

A

x < -48

B

x ≤ -48

C

x > -48

D

x ≥ -48

A

A solid circle at -48 with an arrow pointing to the left.

B

An open circle at -48 with an arrow pointing to the left.

C

A solid circle at -48 with an arrow pointing to the right.

D

An open circle at -48 with an arrow pointing to the right.

A

x ≤ 3

B

x ≥ 3

C

x ≤ -3

D

x > 3

A

An open circle at 3 with an arrow pointing to the left.

B

A solid circle at 3 with an arrow pointing to the right.

C

An open circle at 3 with an arrow pointing to the right.

D

A solid circle at 3 with an arrow pointing to the left.

A

x ≤ -8

B

x ≥ 8

C

x ≤ 8

D

x > 8

A

x ≥ 1/2

B

x ≤ 1/2

C

x ≥ 2

D

x ≥ 1/4

A

m ≥ 18

B

m ≤ 18

C

m > 18

D

m < 18

A

-3 ≤ x ≤ 1

B

3 ≤ x ≤ 1

C

-3 ≤ x ≤ -1

D

-1 ≤ x ≤ 3

A

An open circle at -3 and an open circle at 1 with a shaded line between them.

B

A solid circle at -3 and a solid circle at 1 with a shaded line between them.

C

A solid circle at -3 and an open circle at 1 with arrows pointing outward.

D

An open circle at -3 and a solid circle at 1 with arrows pointing outward.

A

5000 < x + 700 ≤ 7000

B

5000 ≤ x + 700 < 7000

C

5000 < x - 700 ≤ 7000

D

5000 ≤ x - 700 ≤ 7000

A

4300 ≤ x ≤ 6300

B

4300 < x < 6300

C

4300 < x ≤ 6300

D

4300 ≤ x < 6300

A

An open circle at 4300 and a solid circle at 6300 with a shaded line between them.

B

A solid circle at 4300 and an open circle at 6300 with a shaded line between them.

C

An open circle at 4300 and an open circle at 6300 with a shaded line between them.

D

A solid circle at 4300 and a solid circle at 6300 with a shaded line between them.

A

x < 2 or x ≤ 7

B

x < 2 or x ≥ 7

C

x > 2 or x ≤ 7

D

x > 2 or x ≥ 7

A

An open circle at 2 with an arrow pointing to the left and a solid circle at 7 with an arrow pointing to the right.

B

A solid circle at 2 with an arrow pointing to the left and an open circle at 7 with an arrow pointing to the right.

C

An open circle at 2 and a solid circle at 7 with a shaded line between them.

D

A solid circle at 2 and an open circle at 7 with a shaded line between them.

A

m ≥ 3 or m ≤ 5

B

m ≤ 3 or m ≥ 5

C

m ≥ 3 or m ≥ 5

D

m ≤ 3 or m ≤ 5

A

A solid circle at 3 with an arrow pointing to the left and a solid circle at 5 with an arrow pointing to the right.

B

A solid circle at 3 with an arrow pointing to the left.

C

An open circle at 3 with an arrow pointing to the right.

D

A solid circle at 5 and a solid circle at 3 with a shaded line between them.

A

7 < x < 9

B

7 ≤ x ≤ 9

C

7 < x ≤ 9

D

7 ≥ x > 9

A

x ≤ -1 or x ≥ 1

B

x < -1 or x > 1

C

-1 ≤ x ≤ 1

D

-1 < x < 1

A

8 ≤ f < 11

B

8 < f ≤ 11

C

8 ≤ f ≤ 11

D

8 < f < 11

A

-12 ≤ n ≤ -7

B

-12 < n < -7

C

-12 ≤ n < -7

D

-12 < n ≤ -7

A

-3 < x < 3

B

-3 ≤ x < 3

C

-3 < x ≤ 3

D

-3 ≤ x ≤ 3

A

1 < x < 4

B

1 ≤ x ≤ 4

C

1 < x ≤ 4

D

1 ≤ x < 4

A

-2 < f < -1

B

-2 ≤ f ≤ -1

C

-2 < f ≤ -1

D

-2 ≤ f < -1

A

w ≤ -3 or w ≥ 2

B

w < -3 or w > 2

C

w ≤ -3 or w ≤ 2

D

w ≥ -3 or w ≥ 2

A

-4 < m < 0

B

-4 ≤ m ≤ 0

C

m < -4 or m > 0

D

-2 < m < 2

A

A solid circle at -4 and a solid circle at 0 with a shaded line between them.

B

An open circle at -4 and an open circle at 0 with a shaded line between them.

C

An open circle at -4 with an arrow pointing to the left and an open circle at 0 with an arrow pointing to the right.

D

A solid circle at -4 with an arrow pointing to the left and a solid circle at 0 with an arrow pointing to the right.

A

No solution (Empty set, ∅)

B

All real numbers (R)

C

n < -4

D

n > 6

A

A number line with all numbers shaded.

B

A number line with nothing shaded (an empty graph with no points or lines).

C

A solid circle at -5 with an arrow pointing to the left.

D

An open circle at 1 with a shaded line between -5 and 1.

A

|x - 72| ≤ 1.8

B

|x - 72| ≥ 1.8

C

|x - 1.8| ≤ 72

D

|x + 72| ≤ 1.8

A

{x | 70.2 ≤ x ≤ 73.8}

B

{x | 70.2 < x < 73.8}

C

{x | 72 ≤ x ≤ 73.8}

D

{x | 70.2 ≤ x ≤ 72}

A

2 ≤ m ≤ 8

B

m ≤ 2 or m ≥ 8

C

m ≤ -8 or m ≥ -2

D

-8 ≤ m ≤ -2

A

Solid circles at 2 and 8 with a shaded line between them.

B

Open circles at 2 and 8 with a shaded line between them.

C

A solid circle at 2 with an arrow pointing to the left and a solid circle at 8 with an arrow pointing to the right.

D

An open circle at 2 with an arrow pointing to the left and an open circle at 8 with an arrow pointing to the right.

A

All real numbers

B

No solution (∅)

C

1 ≤ n ≤ 11

D

n ≤ 1 or n ≥ 11

A

A number line with nothing shaded (an empty graph).

B

A number line with a solid circle at 1 and a solid circle at 11 with a shaded line between them.

C

A number line with all numbers shaded and arrows pointing in both directions.

D

An open circle at 6 with arrows pointing in both directions.

A

-24 < x < 8

B

-24 ≤ x ≤ 8

C

x < -24 or x > 8

D

-8 < x < 24

A

-3 ≤ r ≤ 1

B

-3 < r < 1

C

r ≤ -3 or r ≥ 1

D

-1 ≤ r ≤ 3

A

-3 ≤ c ≤ 4

B

-3 < c < 4

C

c ≤ -3 or c ≥ 4

D

-4 ≤ c ≤ 3

A

-3 < h < 5

B

-3 ≤ h ≤ 5

C

h < -3 or h > 5

D

-5 < h < 3

A

A graph with solid circles at -1 and 5 and a shaded line between them.

B

A graph with solid circles at -1 and 5 and arrows pointing outward.

C

A graph with open circles at -1 and 5 and a shaded line between them.

D

A graph with open circles at -2 and 2 and arrows pointing outward.

A

y < (3/2)x - 4

B

y > (3/2)x - 4

C

y < -(3/2)x + 4

D

y > -(3/2)x + 4

A

0 < 8 (True)

B

0 > 8 (False)

C

-8 < 8 (True)

D

8 < 8 (False)

A

y < -2x - 4 with a dashed boundary line.

B

y > -2x - 4 with a solid boundary line.

C

y < -2x + 4 with a dashed boundary line.

D

y > -2x - 4 with a dashed boundary line.

A

y < (1/2)x + 2

B

y > (1/2)x + 2

C

y < -(1/2)x + 2

D

y > -(1/2)x - 2

A

0.8x + 1.25y ≤ 20

B

0.8 + 1.25y ≥ 20

C

1.25x + 0.8y ≤ 20

D

0.8x - 1.25y ≤ 20

A

y ≤ -0.64x + 16

B

y ≥ -0.64x + 16

C

y ≤ -0.8x + 16

D

y ≤ 0.64x - 16

A

Because Dominique cannot buy a negative number of drinks, and only whole-number combinations are practical/viable.

B

Because negative numbers make the inequality false, and only fractional numbers are allowed.

C

Because the boundary line must always pass through the origin (0, 0).

D

Because the total cost must always equal exactly $0.

A

Solutions: (-5, -3), (0, -4), (2, 2), (-3, 4), (0, 0), (1, 1). Not solutions: (1, -7), (4, 2).

B

Solutions: (0, -4), (1, -7), (2, 2), (4, 2). Not solutions: (-5, -3), (-3, 4), (0, 0), (1, 1).

C

Solutions: (-5, -3), (-3, 4), (0, 0), (1, 1). Not solutions: (0, -4), (1, -7), (2, 2), (4, 2).

D

Solutions: (-3, 4), (0, 0), (1, 1), (4, 2). Not solutions: (-5, -3), (0, -4), (1, -7), (2, 2).

A

Dashed boundary line, shade the region that does not contain (0, 0) (below the line).

B

Solid boundary line, shade the region containing (0, 0) (above the line).

C

Dashed boundary line, shade the region containing (0, 0).

D

Solid boundary line, shade the region that does not contain (0, 0).

A

Slope = 1, y-intercept = 12, dashed boundary line.

B

Slope = 12, y-intercept = 1, solid boundary line.

C

Slope = 1, y-intercept = -12, dashed boundary line.

D

Slope = -1, y-intercept = 12, solid boundary line.

A

Solid boundary line, shade the half-plane containing (0, 0) (since 0 ≥ -1 is true).

B

Dashed boundary line, shade the half-plane containing (0, 0).

C

Solid boundary line, shade the half-plane that does not contain (0, 0).

D

Dashed boundary line, shade the half-plane that does not contain (0, 0).