Graphing Inequalities

Graphing Inequalities

Open Ended

What is the equation of this graph?

Open Ended

What does the red on the graph represent?

The red represents an answer. For example, if x = 2, then y = 0.

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Extend: What do you think will happen if I change

 $y\ =\ -\frac{1}{2}x\ +1$  to  $y\ \le-\frac{1}{2}x+1$   on the desmos graph?

Open Ended

Why do you think this is the graph of  $y\ <\ -\frac{1}{2}x\ +\ 1$  ? (Take your time. You WILL NOT get credit for "I don't know")

We want to show all of the answers, and if (for example) x = 0, y can be anything less than 1!

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 Review: What is the difference between plotting  $x\ <0$  and  $x\ \le0$  ?

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Extend: What do you think will happen if I plot  $y\ <\ -\frac{1}{2}x+1$  instead of  $y\ \le-\frac{1}{2}x\ +\ 1$  ?

Open Ended

Make a general rule: How you do plot inequalities in 2 variables?

Poll

How are we feeling?

• What are we even talking about

• Little lost, but fair enough

• This is weird but I get it

• I love this I am an expert

Looking Forward

• Thursday: Test Review

• Friday: Test

• Next Week: Mastery Time

• EVERYTHING is due Jan 29