SOLUTION: -|3n-5| is greater than or equal to 7n-15 I don't understand how to show the absolute value when it is negative. Please show good, concise steps.

Question 229289: -|3n-5| is greater than or equal to 7n-15
I don't understand how to show the absolute value when it is negative.
Please show good, concise steps.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
-|3n-5|>=7n-15
-3n+5>=7n-15
-3n-7n>=-15-5
-10n>=-20
n<=-20/-10 [Note: when dividing by a negative value the > sign changes to a < sign]
n<=2 ans.
Proof:
Let n=1.9
-[3*1.9-5]>=7*1.9-15
-[5.7-5]>=13.3-15
-[.7]>=-1.7
-.7>=-1.7
--------------------------
-[3n-5]>=-(7n-15)
-3n+5>=-7n+15
-3n+7n>=15-5
4n>=10
n>=10/4
n>=2.5 ans.
Proof:
Let x=2.6
-[3*2.6-5]>=-(7*2.6-15)
-(7.8-5]>=-(18.2-15)
-(2.8)>=-3.8
-2.8>=-3.8

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