Literal Equations Inequality

Which graph represents the inequality  6 > x

• A

• B

• C

• D

Which of the following compound inequalities would result in this graph?

• x > -2 or x > -4

• x > -2 and x < -4

• x > -2 and x > -4

• x > -2 or x < -4

Which of the following would result in no solution?

• x > 3 and x < 10

• x > 3 or x < 10

• x < 3 or x < 10

• x < 3 and x > 10

Solve: 8r - 5 > 6r - 1 or 4 + 4r < 3r - 3

• All real numbers

• r > 2

• r < -7

• r < -7 or r > 2

Solve:
4(2a + 3) < 3(a - 1)

• a<-3

• a>-3

• a<3

• a>3

5x + 1 > 21 AND 3x + 2 < -1

• All real numbers

• x < -1 and x > 4

• No solution

• x > 4

Store A charges $10 plus $0.25 per letter for engraving. Store B charges $16 plus $0.15 per letter. Which inequality could be used to determine when Store B will cost less than Store A?

• 10 + 0.25x > 16 + 0.15x

• 10x + 0.25 > 16x + 0.15

• 10 + 0.25x < 16 + 0.15x

• 10x + 0.25 < 16x + 0.15

James weighs 220 pounds and gains 2 pounds per month. Joey weighs 176 pounds and gains 4 pounds per month. Which inequality below could be used to determine after how many months James will weigh less than Joey?

• 220 + 2x > 176 + 4x

• 220 + 2x < 176 + 4x

Max’s dog dish contains 34 ounces of water, and Max drinks 4 ounces per hour. Sophie’s dog dish contains 50 ounces of water and she drinks 6 ounces per hour. Which inequality below can be used to determine after how many hours Sophie's dish will have less water than Max's dish?

• 34 - 4x > 50 - 6x

• 34 - 4x < 50 - 6x

A pink roll of tickets has 1,000 tickets on it, and 50 are sold each hour. A blue roll has 595 tickets, and 5 are sold each hour. Which inequality below could be used to determine when the blue roll will have more tickets than the pink roll?

• 1000 - 50x < 595 + 5x

• 1000 - 50x > 595 - 5x

• 1000 - 50x < 595 - 5x

• 1000x - 50 < 595 + 5x