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)

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) (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) (Show Source): You can put this solution on YOUR website!

.....first, do multiplication on the left side, recall the rule: if you multiply negative number by positive number, product will be negative number

..........since all terms are negative, both sides multiply by to get positive terms
..... but recall that > will change to <
...solve for

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