Question

Can someone help me with this question?

Which of the following is the solution set for the conjunction -6 <4x + 2 < 6?

A. x < -2 or x > 1
B. x > -2 and x < 1
C. x > -3/2 or x < 3/2
D. x > -3/2 and x < 3/2

Whoever can help me will get a medal and my appreciation.

Answer 1

Okay, a conjunction consists of the word "and", and a disjunction consists of the word "or". So you already know that the answer won't be A or C.
We're left with B or D.
Lets solve the problem.
-6 < 4x + 2 and 4x + 2 < 6
Solve each individual problem.
-6 < 4x + 2
Subtract 2 from both sides.
-8 < 4x
Divide each side by 4.
x > -2
Now, for the second.
4x + 2 < 6
Subtract 2 from both sides again.
4x < 4
Divide each side by 4 again.
x < 1
x > -2 and x < 1
The answer is B.

Answer 2

Do you understand? (: I'll explain more in depth if you don't.

Answer 3

Thanks you for the help. I'm normally good in math,but I have a hard time understanding inequalities. I really can't thank you enough for putting the time in to respond and hope you have a wonderful day :)

Answer 4

That's how I am, haha. I'm good in certain parts and not so good in others. I think that's how it is for everyone. And you're very welcome! Thank you. You have a good day also. (: