My Math Forum Domain of multiple inequalities

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 March 28th, 2014, 07:02 PM #1 Senior Member     Joined: Feb 2014 From: Louisiana Posts: 156 Thanks: 6 Math Focus: algebra and the calculus Domain of multiple inequalities I have a problem that states: Find the domain that the following inequalities cover simultaneously: x < -4, x > 3/2, and -2 < x < 4. What is the answer, and what does the question mean by "domain?"
March 29th, 2014, 01:37 AM   #2
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Quote:
 Originally Posted by Mr Davis 97 I have a problem that states: Find the domain that the following inequalities cover simultaneously: x < -4, x > 3/2, and -2 < x < 4. What is the answer, and what does the question mean by "domain?"
Hello.

Are you sure of the statement?

Seems redundant.

$x \ < \ -4 \rightarrow{} x \in{}(- \infty, -4)$

$-2 \ < \dfrac{3}{2} \ < \ x \ < \ 4 \rightarrow{} x \in{} (-2, 4)$

is not it? : $x<-2 \ and \ x> -4$??

Regards.

 March 29th, 2014, 06:19 AM #3 Senior Member     Joined: Feb 2014 From: Louisiana Posts: 156 Thanks: 6 Math Focus: algebra and the calculus I'm not sure, but it says that the answer is 3/2 < x < 4 somehow... I'm really confused as to how though.

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