the 2 unequalities

-26<4k-2 and 2k-1<6

A. Write a compound inequality to combine the inequalities shown previously.

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

please help

-26 < 4k-2 < 12

-24 < 4k < 14
-6 < k < 7/2

A. To combine the inequalities -26 < 4k - 2 and 2k - 1 < 6, we need to connect them using logical operators. Since they are both inequalities, we can use the "and" connector.

The compound inequality combining the two given inequalities is:
-26 < 4k - 2 and 2k - 1 < 6.

B. Let's solve the compound inequality for the values of k. We will do this one inequality at a time.

1. First, let's solve the inequality -26 < 4k - 2.

Add 2 to both sides:
-26 + 2 < 4k - 2 + 2,
-24 < 4k.

Divide both sides by 4:
-24/4 < 4k/4,
-6 < k.

So, the first part of the solution is -6 < k.

2. Now, let's solve the inequality 2k - 1 < 6.

Add 1 to both sides:
2k - 1 + 1 < 6 + 1,
2k < 7.

Divide both sides by 2:
(2k)/2 < 7/2,
k < 3.5.

So, the second part of the solution is k < 3.5.

Now, we need to combine the two parts of the solution. Since we have inequalities going in different directions, the final solution will be the intersection of both solutions. Therefore, the final answer as one inequality is:

-6 < k < 3.5.