Symbol Vocabulary
More than
>
What type of dot do you use for these two symbols (open or closed) ≤ ≥ ?
closed
x + 23 > -11
x > -34
2x + 11 > 23
x > 6
Sara charges a fee of $30 and $5 each hour to tutor people in math. If she wants to make at least $80, how many hours does she need to work?
Write an inequality for this situation and solve.
5x + 30 ≥ 80
x ≥ 10
Fewer than
<
What type of dot do you use for these two symbols (open or closed) < > ?
open
x - 6 < 23
x < 29
5x - 9 < 11
x < 4
Video Games cost $8 each. If Mr. DelBalso wants to spend at most $240, how many video games could he get?
Write an inequality for this situation and solve.
8x ≤ 240
x ≤ 30
At least
≥
Describe how you would graph the following inequality.
x > -5
Open circle on -5 going to the right.
6x > -48
x > -8
x/2 + 6 >= 13
x>= 14
Sarah earns $20 an hour and already has $100 saved. When will she have more than $300?
Write an inequality for this situation.
20x + 100 > 300
At most
≤
Describe how you would graph the following inequality.
x ≤ 15
Closed circle on 15 going to the right.
x/-9 <= -4
x >= 36
-3x + 9 > 36
x < -9
A teacher can have no more than 30 students in the class. If they already have 9, how many more students can join?
Write an inequality for this situation.
x + 9 <= 30
Up to
≤
Describe how you would graph the following inequality.
-3x > 12
Open circle on -4 going to the left.
-5x < -35
x > 7
-5x - 12 > 23
x < -7
Tickets to a show cost $7 each and parking is $8. A group of friends can spend no more than $50. How many tickets can they buy?
Write an inequality to represent this situation.
7x + 8 <= 50