Solutions to Inequality Review

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x+y≤300
  7.5x+5.5y≥2000

• x+y<300
  7.5x+5.5y≥2000

• x+y≤300
  7.5x+5.5y≤2000

• x+y>2000
  7.5x+5.5y≤300

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

a − 6 ≤ 15 + 8a

• a ≤ -3

• a ≥ -3

• a ≤ 3

• a ≥ 3

• A

• B

• C

• D

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

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

Solve the inequality
2 ≥ y - 12

• y ≤ 14

• y > 14

• y < 10

• y ≤ 10

Tell whether x=6 is a solution to the inequality
x - 5 ≤ 10

• IS a solution

• IS NOT a solution

• 8

• 9

• 5

• all three are possible solutions

Troy goes to the store with $60. He needs to buy whitening strips for $20 and wants to buy as many Celsius drinks for $2.50 as he can. What inequality represents how many Celsius he can buy?