Symbols
What does the following inequality symbol represent?
<
Less Than
Write and inequality to match the situation.
To ride the roller coaster the rider's height, h, must be greater than 3.5 feet.
h > 3.5
Solve and graph the inequality
-2x<18
x>-9
Solve the inequality.
4b - 4 ≤ -20
b ≤ -4
What does the line under an inequality symbol represent?
Equal to
Write an inequality to match the situation:
To paint a house the humidity, h, must be less than or equal to 70%.
x ≤ 70%
Solve and graph the inequality
-11x>-44
x<4
Solve the inequality.
2 - 5w ≤ -8
w > 2
***Line under >***
What does the following symbol represent?
>
Greater than
Write an inequality to represent the scenario. Then determine if a given value satisfies the inequality.
A taxi charges a flat rate of $2.25 plus an additional $0.50 per mile. Annie has at most $20 to spend on the cab ride. Could Annie travel 16 miles?
0.50x + 2.25 ≤ 20
Yes, Annie can travel 16 miles.
Solve and graph the inequality
x/-4<20
Write an inequality for the given situation and solve.
Caleb has $57 to spend at a carnival. He buys his dinner for $9. Then he will buy some ride tickets for $1.50 each. How many tickets can he buy?
1.50x + 9 ≤ 57
x ≤ 32
When you divide or multiply by a negative, what happens to the inequality symbol?
The symbol inverses
Write an inequality to represent the scenario. Then determine if a given value satisfies the inequality.
A pet store makes a profit of $6.50 per bag on its line of organic dog food. The store wants to make a profit of no less than $5,700. Could selling 1,300 bags of dog food meet this goal?
6.50x > 5,700
Yes, selling 1,300 bags of dog food would meet the goal.
Solve and graph the inequality:
1.2x<9.6
x<8
Write an inequality for the given situation and solve.
Brianna has a $50 online gift certificate from a book store. The cost of each book is $9. There is also a shipping charge of $5 for her entire order. How many books can Brianna buy without spending more than her gift certificate amount?
9x + 5 ≤ 50
x ≤ 5