Question 809572
The question is...
1.  Two inequalities follow:
                         -26<4k-2 and 2k-1<5
A. Write a compound inequality to combine the inequalities shown previously.


Answer:  
B.  Solve the compound inequality for values of k. Show your work. Write your final answer as one inequality.

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The work I have so far is:
1. Simplify the individual equations on either side of the "and". This would leave you with -24<4k and 2k<6. Then you would simplify each of them even further by dividing. This will leave you with -6<k and k<3.

Written out what I have done so far is...

-26<4k-2 and 2k-1<5
+2    +2       +1 +1
--------------------
-24<4k   and   2k<6
  /4 /4        /2 /2
--------------------
-6 < k and k < 3

This would leave you with -6 < k < 3. 
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I believe that the work I have done so far is the answer to the second part of the original question (Pt. B). Is it? And if it is, how do I use this to find Pt. A or how do I figure out Pt. A not using my work already?
                    

- 26 < 4k - 2 and 2k - 1 < 5


A.
1st inequality
- 26 < 4k - 2


2(- 13) < 2(2k - 1) ---- Factoring out GCF, 2


- 13 < 2k - 1


We now have the following compound inequality: {{{highlight_green(- 13 < 2k - 1 < 5)}}}


B.
Solve for k 


You can do the check!! 


Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com. Further help is available, online or in-person, for a fee, obviously. 


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