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Laabri

Guided Lesson: Compound Inequalities

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Last updated about 2 years ago
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What is compound inequality?

A compound inequality is an inequality that combines two simple inequalities. Let's take a look at some examples.

Now try making a couple of compound inequalities of your own.

But what if the inequality is complex like

-5 ≤ x-4 ≤ 13

How can I represent this on a number line when x is not alone?

Watch this video to figure it out!

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1.

How comfortable are you with solving compound inequalities?

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2.

What questions do you have regarding solving inequalities. If your answer to the previous question was that you don't understand anything at all then please make a list of all the SPECIFIC things that confused you. Please do not write you did not understand anything.

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3.

Graph the following:

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4.

The ideal temperature in a fridge is 38 degrees Fahrenheit. This can vary by up to 2 degrees. Write an inequality to show the range of possible temperatures, t. (Opt+, gives ≤ and Opt + . gives ≥)

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5.

Write the inequality shown on the graph:

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6.

Solve:

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7.

Solve:

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8.

Solve:

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9.

Solve:

As you've done before, once you submit the paper recheck your answers with the answer key. What did you get wrong? Where do you think you went wrong? Make a note of it so we can discuss it afterwards.