Inequality Symbols
Graphing Inequalities
Constraints/Linear Programming
Graphing Systems of Inequalities
Is (x,y) a solution to the System of Inequalities?
100
What inequality symbol would you use for the words "at least?"
100
DASHED!
100
Jimmy is baking cookies for a bake sale....
chocolate chip and oatmeal raisin.
Write the constraints on "c" and "o" that you know at this point.
c = # chocolate chip cookies
o = # oatmeal raisin cookies
(Hint: You can't have negative cookies! This will be 1 equation!))
chocolate chip and oatmeal raisin.
Write the constraints on "c" and "o" that you know at this point.
c = # chocolate chip cookies
o = # oatmeal raisin cookies
(Hint: You can't have negative cookies! This will be 1 equation!))
100
Graph the system of inequalities on your graphing calculator.
y > x + 1
y > -x
y > x + 1
y > -x
100
Is the point a solution to the system?
No! The point lies on the DASHED line, so you cannot include it in the solution!
200
What inequality symbol would you use for the words "at most?"
200
ABOVE!
200
Jimmy cannot make more than 500 cookies of each kind.
Write the new constraints on "c" and "o."
(Hint: This will be 2 equations!)
Write the new constraints on "c" and "o."
(Hint: This will be 2 equations!)
200
200
Is the point a solution to the system?
Yes! This point lies in the shaded region.
(Hint: The tick marks on the graph go up by 5's!)
(Hint: The tick marks on the graph go up by 5's!)
300
What inequality symbol would you use for the words "no more than?"
300
300
Jimmy cannot make more than 800 cookies total.
Write the new constraints on "c" and "o."
(Hint: This will be 1 equation!)
Write the new constraints on "c" and "o."
(Hint: This will be 1 equation!)
300
300
Is the point a solution to the system?
Yes! This point lies on the SOLID line, so it IS a part of the solution!
(Hint: Each tick mark on the graph goes up by 2s!)
(Hint: Each tick mark on the graph goes up by 2s!)
400
What inequality symbol would you use for the words "not to exceed?"
400
400
Jimmy must make at least one-third as many
chocolate chip cookies as oatmeal raisin cookies.
Write the new constraints on "c" and "o."
(Hint: This will be 1 equation!)
chocolate chip cookies as oatmeal raisin cookies.
Write the new constraints on "c" and "o."
(Hint: This will be 1 equation!)
400
400
Is (0,0) a solution to the system of inequalities below?
No! The point (0,0) lies outside of the shaded region.
500
What inequality symbol would you use for the words "no fewer than?"
500
500
Jimmy gets 25 cents for each chocolate chip cookie and
30 cents for each oatmeal raisin cookie.
Write the profit equation for this scenario
using "c" and "o."
30 cents for each oatmeal raisin cookie.
Write the profit equation for this scenario
using "c" and "o."
500
Answer: Graph A
500
Answer: D
(Hint: Plug in "x" and "y" for each point to
see which ordered pair makes the inequalities true statements!)
(Hint: Plug in "x" and "y" for each point to
see which ordered pair makes the inequalities true statements!)