SOLUTION: 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.
An
Algebra.Com
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.
--------------------------------------------------------------------------------
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
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.
_______________________________________________________________________________
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?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
and
The first one:
The second one:
Combining these into one gives you
The wording in Part A is troublesome. Where are the previous inequalities?
Parts A and B are the same thing.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
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.
--------------------------------------------------------------------------------
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
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.
_______________________________________________________________________________
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:
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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