Multistep Inequalities with Variables on Both Sides

• a ≥ 4
• a ≥ -4
• a ≤ 4
• a ≤ -4

• m < 6
• m < -6
• m > 6
• m > -6

• x ≤ 4
• x ≤ -4
• x ≥ 4
• x ≥ -4

• x ≥ 3
• x ≥ -3
• x ≤ 3
• x ≤ -3

• n ≤ 6
• n ≤ -6
• n ≥ 6
• n ≥ -6

• n < 1
• n < -1
• n > 1
• n > -1

8g − 5g − 4 ≤ -3 + 3g

• g ≤ 0

• g ≤ 1

• All Real Numbers

• No Solution

6(L+3) < 3(2L+6)

• L > 0

• L < 0 

• All real numbers

• No solution

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