Solving and Graphing Inequalities with Variables on Both Sides

Which inequality is represented by the words "less than"?

• <
• >
• ≤
• ≥

Which inequality is represented by the words " at least"?

• <
• >
• ≤
• ≥

30b + 53 ≥ 18b − 83

• b≥−11.3333

• b≥-14 2/3

• b>8

• -b<12

Which inequality is represented by the words " more than"?

• <
• >
• ≤
• ≥

54x + 64 ≥ 49x + 59

• x≥−1
• x≤-1
• x>9
• x<-3

Which inequality is represented by the words " no more than" or "at most"?

• <
• >
• ≤
• ≥

Solve:
11x + 16 < 43 + 2x

• x < 5
• x < 3
• x > 5
• x > 3

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

Twice a certain number, increased by 5, is less than three times the same number.

• 2x + 5 > 3x
• 2x + 5 < 3x
• 2x + 5 ≤ 3x
• 2x + 5 ≥ 3x

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