Solving and Graphing Inequalities with Variables on Both Sides

• x ≥ 2
• x ≥ -2
• x ≤ 2
• x ≤ -2

• x > 1
• x > -1
• x < 1
• x < -1

• x < 1
• x < -1
• x > 1
• x > -1

• a ≥ 4
• a ≥ -4
• a ≤ 4
• a ≤ -4

• m < 6
• m < -6
• m > 6
• m > -6

• x ≥ 2
• x ≥ -2
• x ≤ 2
• x ≤ -2

Jake's sunflower is 14 inches tall and it grows 5.5 inches per month. Jake wants his sunflower to grow at least 60 inches tall. Which inequality determines the number of months, m, it will take Jake's sunflower to grow so it is at least 60 inches tall?

The rodeo is having a carnival. Admission into the carnival is $10, and each game costs $1.00. Which of the following inequalities represents the possible number of games, g, that can be played with $20?

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 the taxi ride.

• 1.75 + 0.65m < 10
• 1.75 + 0.65m > 10
• 1.75m + 0.65 < 10
• 1.75m + 0.65 > 10

Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

• 3.33v > 2v + 10
• 3.33v + 10 > 2v 
• 3.33v < 2v + 10
• 3.33v + 10 < 2v