math
posted by Anonymous .
if the domain is the set of integers, the solution set of x^2 3x 4<0 is what?

math 
Reiny
What your question really asks for is,
"For what values of x does the corresponding parabola
y = x^2  3x  4 fall below the xaxis?"
let's find the xintercepts ....
x^2  3x  4 = 0
(x4)(x+1) = 0
x = 1 or x = 4
so the expression is < 0 for 1 < x < 4
or
(x+1)(x4) < 0
( x+1 >0 AND x4<0) OR ( x+1 < 0 AND x4>0)
( x>1 and x<4) OR (x<1 AND x > 4)
x>1 and x<4 OR (null set)
1 < x < 4 
math 
Anonymous
thank you, so anything between 1 and 4 would be my answer? (0,1,2,3)?

math 
bobpursley
yes.

math 
drwls
Since your domain is integers, only the integers (0,1,2,3) satisfy the inequality. Otherwise, there would be an infinite number of noninteger solutions between 1 and 4.
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