Writing Inequalities
The car can hold less than 6 people.
c < 6
How would you graph a > 7?
open dot above 7, pointing right
Solve 9m < 54
m < 6
Joe is doing chores to save money to buy a ticket to a Jelly Roll concert. He has saved $15 and the ticket will cost no less than $25. Write an inequality to find how much Joe still needs.
x + 15 > 25
The distance any number is from zero.
Absolute Value
The class must raise at least $250.
f > 250
How would you graph y < 19?
open dot above 19, pointing left
Solve d/15 > 3
d > 45
A roller coaster train can hold at most 64 people. If there are 12 people in line, write an inequality to determine how many more people could get in line for the next ride.
p + 12 < 64
We always count DISTANCE as a positive number.
***Absolute value is only answering "HOW FAR" not in what direction!
The temperature must be higher than 211.9 degrees.
t > 211.9
How would you graph t < 6?
closed dot above 6, pointing left
Solve 22 < y - 10
32 < y
Ava is making bracelets. Each bracelet requires 300 beads. Write an inequality that could be used to find the maximum number of bracelets Ava could make if she has 1,750 beads.
300b < 1,750
When trying to solve an inequality, you need to get the variable "alone" on one side of the inequality.
What is another word for getting the variable "alone?"
ISOLATE the variable
The minimum cost will be $40.
c > 40
How would you graph:
29 <= m
closed dot above 29, pointing right
Solve 53 + b < 60
b < 7
Students are going to be split into teams. There must be at least 4 teams, and each team must have 10 students. Write an inequality to find a possible number of students that could participate.
x/10 >= 4
A number that can be plugged into an inequality to make it true is called a(an) ________________
Solution
The speed must be no greater than 15 mph.
s < 15
How would you graph the solution of x + 14 > 17?
open dot above 3, pointing right
10 > x/2
20 > x
Rapunzel is going to cut 75 inches off of her hair. However, she wants her hair to be longer than 36 inches. Write an inequality to find how long her hair could be.
h - 75 > 36
In order to get the variable "alone" on one side of the equation or inequality, you must do the OPPOSITE to both sides.
What is another word for "Opposite?"
Inverse