Combined Linear Inequalities in One Variable Set Notation

Match this number line to its correct solution.

• x > -2

• x < -2

• x > -2

• x < -2

Match this number line

to its correct solution.

• x > -2

• x > -2

• x < -2

• x < -2

Match this number line

to its correct solution.

• x > 1

• x > 1

• x < 1

• x < 1

• A

• B

• C

• D

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a taxi ride. Which inequality best describes how many miles Katie can ride in this taxi?

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which inequality could be used to determine how many rides you would need to go on before it would become cheaper to go to the Frederick fair?

• 15x + 2.5 < 10x + 3

• 15 + 2.5x > 10 + 3x

• 15 + 2.5x < 10 + 3x

• 15 - 10 ≥ 2.5x + 3x

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 ≥ 42

• 8x + 6 ≤ 42

• 6x + 8 > 42

• 8x + 6 < 42

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride.

Which inequality could be used to determine how many rides you would need to go on before it would become cheaper to go to the Frederick fair?

• 15x + 2.5 < 10x + 3

• 15 + 2.5x > 10 + 3x

• 15 + 2.5x < 10 + 3x

• 15 - 10 ≥ 2.5x + 3x

Johnny earns $15 for each dog that he walks. He wants to earn at least $105 to buy a new bike. Which inequality represents the number of dogs Johnny must walk to be able to afford his new bike?

• 15d ≤ 105

• 15d > 105

• 15d < 105

• 15d ≥ 105

Match this number line

to its correct solution.

• x > 2

• x > 2

• x < 2

• x < 2