SOLUTION: I can't seem to understand -4(3+n)>-32 I know the answer will be greater than 32 but I'm just confused if I should use the distributive property with the (3+n)

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: I can't seem to understand -4(3+n)>-32 I know the answer will be greater than 32 but I'm just confused if I should use the distributive property with the (3+n)      Log On


   



Question 1044544: I can't seem to understand -4(3+n)>-32 I know the answer will be greater than 32 but I'm just confused if I should use the distributive property with the (3+n)
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Yes.
-4(3+n)=-12-4n>-32
multiply everything by (-1) and change the direction of the inequality
4n+12<32
4n<20
n<5
Try 0 in the original. It should work
-4(3)>-32
-12>-32 true.
Try 6. It should not work
-4(9)>-32, -36>-32, false.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

-4%283%2Bn%29%3E-32.....first, do multiplication on the left side, recall the rule: if you multiply negative number by positive number, product will be negative number
-4%2A3%2B%28-4%29%2An%3E-32
-12-4n%3E-32..........since all terms are negative, both sides multiply by -1 to get positive terms
-12%28-1%29-4n%28-1%29%3E-32%28-1%29..... but recall that > will change to <
12%2B4n+%3C+32...solve for n
12-12%2B4n+%3C+32-12
4n+%3C+20
4n%2F4+%3C+20%2F4
n+%3C+5