Inequalities

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

8x ≥ -32

• x ≥ -4

• x ≥ 4

• x ≤ -4

• x ≥ 4

Describe the graph of m > 3

• open circle at 3 with an arrow to the right

• open circle at 4 with an arrow to the right

• closed circle at 3 with an arrow right

• open circle at 3 with an arrow left

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• X < 5

• X > 5

• X ≥ 5

• X ≤ 5

s + 9 ≥ -25

• s ≥ -18

• s ≥ -34

• s ≤ 18

• s ≥ 34

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

• ≤, <

• ≥, >

The graph illustrates which of the following inequalities:

• x is less than or equal to -2

• x < -2

• -2 < x

• x is greater than 2

Solve the following inequality:
5x - 7 > 33

• x > 5

• x > 40

• x > 8

• x < 8

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

• ≤, <

• ≥, >