Graphing and Writing Inequalities
True/false statements
Writing Basic Inequalities
Two-Step Inequalities
Writing Inequalities
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
Given the inequality:
2x > 3
.... can x be -3?
False because dividing both sides by 2 makes x>3/2 which is the same as x> 1 1/2
100
The car can hold less than 6 people.
c<6
100
Solve for x.
4x + 3 < 7
x < 1
100
Joe is saving money to buy a ticket to a concert. He has saved $15 and the ticket will cost at least $25. Write an inequality to find how much Joe still needs.
15 + x > 25
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
Put the value of K into the inequality and answer the question
-2K + 30 > -10
Can K = 20?
False because -2(20) +30 would be the same as -40+30 or -10......and -10 is not greater than -10
200
The class must raise at least $250.
f > 250
200
Solve for x.
2x - 5 > - 11
x > -3
200
A roller coaster 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.
12 + p < 64
300
Which direction do we shade for -3 > x ?
Left
300
Solve the inequality and answer the question:
-2x +3 < 9
Are all values of x<-3?
(since -5 is less than -3, replace x with this number to prove)
False because in the last step you have to divide by a negative and flip the sign
300
The temperature must be higher than 211 degrees.
t > 211
300
Solve for x.
-9x + 1 > -71
x > -8
300
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
400
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
400
If graphing 5>x, we would put an open circle on 5 and shade to the right.
False because x is smaller than 5 (or 5 is bigger than all values of x)
400
The minimum cost will be $40.
c > 40
400
Solve for v.
v/3 + 14 < 30
v < 48
400
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
500
What are these symbols called:
< , ≤ , > , ≥?
Inequalities
500
When do you flip the inequality sign?
When you solve and multiply or divide both sides by a negative number
500
The speed must be no greater than 15 mph.
s < 15
500
Solve for x
11 < 2 - 3x
x < -3
-3 > x
500
Rapunzel is going to cut 75 inches off of her hair. She still wants her hair to be longer than 36 inches when she's done. Write an inequality to find how long her hair could be.
h - 75 > 36