Find the inequality represented by the graph.

y ≥ 1 2 x y\ge\frac{1}{2}x y ≥ 2 1 x

y > 1 2 x y>\frac{1}{2}x y > 2 1 x

Find the inequality represented by the graph.

y > 4 x − 2 y>4x-2 y > 4 x − 2

y > − 2 x + 4 y>-2x+4 y > − 2 x + 4

y ≥ 4 x − 2 y\ge4x-2 y ≥ 4 x − 2

y < 4 x − 2 y<4x-2 y < 4 x − 2

Caissa can download a maximum of 1000 megabytes (MB) of songs or movies to her smartphone each month. The file size of each movie is 85 MB, and the file size of each song is 4 MB. Which inequality represents the number of movies (M) and songs (S) that Caissa can download each month.

85 M + 4 S ≤ 1000 85M\ +\ 4S\ \le1000 8 5 M + 4 S ≤ 1 0 0 0

85 M − 4 S ≤ 1000 85M\ -\ 4S\ \le1000 8 5 M − 4 S ≤ 1 0 0 0

85 M − 4 S ≥ 1000 85M\ -\ 4S\ \ge1000 8 5 M − 4 S ≥ 1 0 0 0

85 M + 4 S ≥ 1000 85M\ +\ 4S\ \ge1000 8 5 M + 4 S ≥ 1 0 0 0

A plane requires 3300 gallons of fuel and 75 minutes to make a round trip to Prague, and it takes 5700 gallons of fuel and 130 minutes to make a round trip to Stockholm. A pilot is asked to use at least 94500 gallons of fuel and spend at least 2400 minutes to make round trips to Prague and Stockholm in his plane. Let P denote the number of round trips to Prague and S the number of round trips to Stockholm. Which system of inequalities represents the condition based on the number of gallons of fuel and number of minutes.

3300 P + 5700 S ≥ 94500 3300P+5700S\ge94500 3 3 0 0 P + 5 7 0 0 S ≥ 9 4 5 0 0 75 P + 130 S ≥ 2400 75P+130S\ge2400 7 5 P + 1 3 0 S ≥ 2 4 0 0

3300 P + 75 S ≥ 94500 3300P+75S\ge94500 3 3 0 0 P + 7 5 S ≥ 9 4 5 0 0 5700 P + 130 S ≥ 2400 5700P+130S\ge2400 5 7 0 0 P + 1 3 0 S ≥ 2 4 0 0

3300 P + 5700 S ≤ 94500 3300P+5700S\le94500 3 3 0 0 P + 5 7 0 0 S ≤ 9 4 5 0 0 75 P + 130 S ≤ 2400 75P+130S\le2400 7 5 P + 1 3 0 S ≤ 2 4 0 0

5700 P + 130 S ≤ 2400 5700P+130S\le2400 5 7 0 0 P + 1 3 0 S ≤ 2 4 0 0 3300 P + 75 S ≤ 94500 3300P+75S\le94500 3 3 0 0 P + 7 5 S ≤ 9 4 5 0 0

Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of air and water while using less than 49 Joules of energy. 12A+8W > 343 12A + 8W > 343 represents the number of minutes the robot filters air A and water W to filter more than 343 liters of air and water. 3A + 4W < 49 represents the number of minutes the robot filters air and water while using less than 49 Joules of energy. Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15 minutes?

The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.

The robot meets both of Nadia's expectations.

The robot uses the expected amount of energy, but it doesn't filter the expected amount of air and water.

The robot doesn't meet either of Nadia's expectations.

Zhao Xue wants to buy milk and yogurt. She wants to buy a total of at least 6.5 gallons of dairy products (condition A), and she has a budget of $20 (condition B). The graph represents the constraints on the number of gallons of milk M and yogurt Y Zhao Xue buys. Zhao Xue buys 4 gallons of milk. How many gallons of yogurt can she buy to meet both her constraints?

At least 2.5 gallons and at most 4 gallons.

At least 4 gallons and at most 6.5 gallons.

Zhao Xue doesn't have enough money to buy any yogurt.

Linear Inequalities

Authored by Matthew Naes

Mathematics

8th - 10th Grade

Used 8+ times

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is (4,3) a solution of the graphed inequality?

Yes

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is (2,-1) a solution of the graphed inequality?

Yes

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is (-3,3) a solution of the graphed inequality?

Yes

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is (0,-1) a solution of −10x + 4y ≥ −4?

Yes

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is (1,2) a solution of y < 6x - 3?

Yes

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is (1,5) a solution of the graphed system of inequalities?

Yes

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is (-4,4) a solution of the system?

4x + 5y ≥ −6

−2x + 7y ≥ 20

Yes

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Linear Inequalities

Is (4,3) a solution of the graphed inequality?

Is (2,-1) a solution of the graphed inequality?

Is (-3,3) a solution of the graphed inequality?

Is (0,-1) a solution of −10x + 4y ≥ −4?

Is (1,2) a solution of y < 6x - 3?

Is (1,5) a solution of the graphed system of inequalities?

Is (-4,4) a solution of the system?

4x + 5y ≥ −6

−2x + 7y ≥ 20

Is (0,2) a solution of the system?

−9x + 5y ≤ −6

4x − 8y < −16

Which graph represents 10x + 5y > -4?

Which graph represents 3x − 2y ≥ 4?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Linear Inequalities

Is (4,3) a solution of the graphed inequality?

Is (2,-1) a solution of the graphed inequality?

Is (-3,3) a solution of the graphed inequality?

Is (0,-1) a solution of −10x + 4y ≥ −4?

Is (1,2) a solution of y < 6x - 3?

Is (1,5) a solution of the graphed system of inequalities?

Is (-4,4) a solution of the system?​4x + 5y ≥ −6−2x + 7y ≥ 20​

Is (0,2) a solution of the system?−9x + 5y ≤ −64x − 8y < −16​

Which graph represents 10x + 5y > -4?

Which graph represents 3x − 2y ≥ 4?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Is (-4,4) a solution of the system?

4x + 5y ≥ −6

−2x + 7y ≥ 20

Is (0,2) a solution of the system?

−9x + 5y ≤ −6

4x − 8y < −16