Question #9c6b8

1 Answer
Dec 8, 2016

Answer:

Not sure what you are asking!

#n<1.6#

Explanation:

Assumption:

The question is asking for the value of #n# to be determined given that:

#" "color(brown)(8n-10<6-2n)#

#color(green)("Treat this as if it were: " 8n-10 =6-2n)#

#color(green)("In inequalities you have to turn the inequality sign round the other way")#
#color(green)("if you multiply by -1. It is NOT THE CASE in this question.")#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Add #color(blue)(2n)# to both sides

#" "color(brown)(8ncolor(blue)(+2n)-10 < 6 -2ncolor(blue)(+2n))#

But #-2n+2n=0# giving:

#" "color(brown)(10n-10<6)#

Add #color(blue)(10)# to both sides

#" "color(brown)(10ncolor(blue)(+10)-10<6color(blue)(+10))#

#" "color(brown)(10n<16)#

Divide both sides by 10

#" "color(brown)(10/(color(blue)(10))n<16/(color(blue)(10))#

But #10/10=1#

#" "color(brown)(n<1.6)#