Unit 6 Day 6 Check

​Unit 6 Day 6 Check

By Justin Harris

Reorder

Reorder the following to create our acronym to remember if we have an "and" or an "or" problem.

• L

• A

• G

• O

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Choice

$$\left|x+4\right|>11$$

• AND

• OR

Multiple Choice

$$\left|5x-15\right|<10$$

• AND

• OR

Multiple Choice

$$3\left|2x-18\right|\le30$$

• AND

• OR

Multiple Choice

$$-16\left|4+7x\right|\le-32$$

• AND

• OR

Multiple Choice

$$-1\left|8x\right|\ge-16$$

• AND

• OR

Categorize

Options (4)

$$\left|x-5\right|<23$$  

$$\left|2x+13\right|\le67$$  

$$\left|15-x\right|>33$$  

$$-4\left|x\right|\le-40$$  

Organize these options into the right categories

AND

OR

Open Ended

What is the error from step 1 to step 2?

Step 1: $$\left|3x-4\right|>20$$

Step 2: $$3x-4>20\ \ \ \ OR\ \ \ \ 3x-4>-20$$

Draw

Solve the inequality.

$$-2\left|x-3\right|>-14$$

Draw

The solution to the previous problem is:

$$x<10\ \ AND\ \ x>-4$$

Graph and write in interval notation.