6-5 linear inequalities

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“WHAT’S THE POINT?!”
Object of the game: To locate a secret point on the coordinate plane by
asking as few questions as possible.
How to Play:
• Player A chooses a secret point on the coordinate plane. Each coordinate
must be an integer from -10 to 10.
• Player B asks questions that contain the words less than or greater than.
Player A answers each question with only yes or no.
• The players switch roles to complete one round of the game.
How to Win: The player who names the point by asking fewer questions win
the round. The first player to win 3 rounds wins the game.
(2,-3) Secret Point
Is x greater
than or equal
to 0?
Yes
THINK & DISCUSS
You can use inequalities to describe regions of a
coordinate plane.
A linear inequality describes a region of the coordinate
plane that has a boundary line. Every point in the region
is a solution of the inequality.
Each point on a
solid boundary line
is a solution
Each point on a dashed
boundary line is not a
solution
GRAPH
y < 2x + 3
GRAPH
y > 2x + 3
GRAPH
2x – 5y < 10
GRAPH
y < -1
GRAPH
3
1
x- y£2
2
2
FOOD SHOPPING
A pound of peanuts costs $2 and a pound of cashews costs $4.
Suppose you intend to spend no more than $12 on peanuts and
cashews for a party. How many pounds of each can do you buy?
CLASSWORK/ HOMEWORK
Pg 292 # 8 – 18
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