Graphing One-Var Inequalities
Graphing Two-Var Inequalities
Situations to Inequalities
Solutions to Inequalities
Solving Inequalities
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
What type of line would you draw for < or >?
- - - - - - - -
or
. . . . . . . . .
100
My mom pays at least $5 a week in allowance. Represent my weekly allowance with m.
m > 5
100
x + y > 8
(2, 3)
NO
100
Solving Inequalities
Solve for x.
2x > 8
What is:
x > 4
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
What type of line would you draw for < or >?
__________________________________
Solid
200
I have a jar of red and blue jellybeans. Red jellybeans are x and blue are y. I have at most 500 jellybeans. Write the inequality that would represent this.
x + y < 500
200
-x < y
(8, 8)
YES
200
Solve the Inequality
x + 4 < 88
What is:
x < 84
300
Which direction do we shade for x < -3 ?
What is
Left
300
What buttons do you press on the calculator to input inequalities?
CTRL and =
300
Johnny has a wad of cash. He has x 50 dollar bills and y 100 dollar bills. Johnny knows for sure that he has more than 10 bands ($10,000). What inequality could represent this?
50x + 100y > 10000
300
2x + 3y < 8
(-2, 0)
YES
300
Solving Inequalities
Solve for x.
-9x - 1 > 71
What is:
x < -8
400
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
400
Graph
y>x
-Graph-
400
Peter has $100 to spend on drinks for his party. Bottles of lemonade cost $1 each, and juice boxes cost a quarter each. If x is the number of bottles of lemonade and y is the number of juice boxes, which inequality models this situation?
x + 0.25y < 100
400
4 (3x + 2) > y + 8
(1, 12)
YES (on solid line)
400
Solve for v.
v/3+14<30
v < 48
500
What are these symbols called:
< , ≤ , > , ≥?
(The answers are not less then, greater then, etc.)
What is
Inequalities
500
What are the three minute details that Regents wants you to add?
S
label
arrows
500
Joy wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.60 per pound and raspberries cost $1.75 per pound. If she only has $10 to spend on berries, which inequality represents the situation where she buys x pounds of strawberries and y pounds of raspberries?
1.75x + 1.60y < 10
500
5x - 2 < y + 4
(1, -1)
NO (on the dotted line)
500
Inequalities
-3x - 4 > 11
x < 5