needed help

What the question is asking is, "What values of "c" will make this inequality true?"

 

To figure this out, you'll need to set "c" equal to each side of the inequality.

 

So first set 2c+5 equal to -3:   2c+5 = -3

 

Solve for c:

2c = -8

c = -4

 

Next, set 2c+5 equal to 1:  2c+5 = 1

 

Solve for c:

2c = -4

c = -2

 

So we now know the boundaries, or domain, of c are -4 and -2

 

Therefore your answer is: -4 < c < -2

Hello,

 

To solve inequalities, pretent that the inequality signs were equal signs.  However, you need to remember this rule:

 

Whenever you divide or multiply by a negative number, you must change the direction of the inequality.  As an Algebra Tutor, I've seen students forget this rule numerous times!!!!

 

For your problem, we first need to subtract 5 from 3 sides of the inequality.  Notice, we have three parts in this inequality problem, the far left, center and the far right.  Therefore, you would get the following:

 

-8 < 2c < -4

 

Now, divide by a positive 2.  You could divide the problem out by a negative 2, however, that would make you complete an extra step in order to flip the inequality signs around in order to later get a positive c in the center.

 

So, after dividing by a positive 2 on all sides of the inequality, you would get the following:

 

-4 < c < -2

 

I hope that helps you out!  Please let me know if you have any other questions!

 

Sincerely,

 

Andrew