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Guided Lesson: Compound Inequalities

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Last updated almost 2 years ago
9 questions
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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!
Question 1
1.

How comfortable are you with solving compound inequalities?

Question 2
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.

Question 3
3.

Graph the following:

Question 4
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 ≥)

Question 5
5.

Write the inequality shown on the graph:

Question 6
6.

Solve:

Question 7
7.

Solve:

Question 8
8.

Solve:

Question 9
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.