Peer Response 2

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One-VariableCompoundInequalitiespeer2.docx

· Respond to your classmates’ posts

PEERS RESPONSE:

Hello, everyone!

                For this week’s discussion, I had to answer number problem number 16. The first problem looks like this:

–6 < 3x – 9 ≤ 0

In order to solve this compound inequality, I had to solve for x. To do this, first I subtracted 6 from each side.

3x-9-6

3x-9 ≤ 0

So, x

Therefore, the answer to this problem is

and  x 

 As and intersection, the problem would look like this:

· 3

For my second problem, the or compound inequality

1 > 6x – 8 or  8x – 6 ≤ 10

First, I solved the first inequality.

So, I would subtract 8 and 1 from the right side, making it

-6x

Then, I divide both sides by -6 and flip the inequality sign, making the solution

x

 then, I solved the second part. First, I would add 6 to both sides, making the problem:

8x

Then, divide both sides by 8 making the solution:

x

the solutions written as a union would look like this:

                                                     0     1.5    2

-Haley