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anonymous
 5 years ago
Solve the inequality, (x+3)(x2)>0. Express your answer using set notation.
anonymous
 5 years ago
Solve the inequality, (x+3)(x2)>0. Express your answer using set notation.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Imagine x is a big negative number? What will the result of this expression be?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0(x+3)(x2) is 0 when x=3 and 2. So use test points before and after 3 and 2 to see what are happening to the factors. so plug in some number before 3 like 4 so 4+3=1 42=6 (1)(6)=6>0 so part of the solution is x is (inf,3) now plug in a number between 3 and 2 like 0 so 0+3=3 02=2 (3)(2)=6<0 so the interval (3,2) is not apart of the solution now you do the last interval

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If x is a big negative numer x+3 will still be big and negative, and x2 will also be negative. A negative times a negative is positive. So big negative values for x are ok.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Now as x gets close to 3 from the negative infinity side, the (x+3) factor will start getting closer and closer to 0. Once x = 3 we see that the expression becomes 0, so this is not allowed.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So our first interval is \((\infty,3)\). Now if x is between 3 and 2 what will this expression be?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the last interval would be, (2,inf)?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0is that part of the solution? let's check: 3+3=6 31=2 6(2)>0 so yes thats right so your whole answer is (inf,3)U(2,inf)

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0that 3 is suppose to be negative

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is that part of the solution? let's check: 3+3=6 31=2*** 6(2)>0 so yes thats right so your whole answer is (inf,3)U(2,in *** the 31, isnt it suppose to be 32?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0yes but we still get something positive no biggie little type0
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