Graphing Inequalities

Graphing Inequalities

Fill in the Blanks

What is your name

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What is the equation of this graph?

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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?

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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  $y\ \le-\frac{1}{2}x\ +\ 1$  ?

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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