What is the solution: #6(n -2)>5n+ 5#?

1 Answer
Oct 31, 2016

Answer:

#n>17#

Explanation:

#color(blue)(6(n-2)>5n+5#

We can solve this inequality by isolating #n# as much as possible

We do the same operation on both sides to achieve this

#rarrcolor(red)(6(n-2))>5n+5#

Use the distributive property to expand #6(n-2)#

#color(brown)(a(b+c)=ab+ac#

#rarrcolor(red)(6(n)-6(2))>5n+5#

#rarr6n-12>5n+5#

Add #12# both sides

#rarr6n-12+color(red)(12)>5n+5+color(red)(12)#

#rarr6n>5n+17#

Subtract #5n# both sides

#rarr6n-color(red)(5n)>5n+17-color(red)(5n)#

#color(green)(rArrn>17#

Hopefully this helps!