How do you solve #4n-5(n-3)>3(n+1)-20#?

1 Answer
Jun 8, 2017

#n < 8#

Explanation:

Given: #4n - 5(n - 3) > 3(n + 1) -20#

Distribute both sides:

#4n -5n + 15 > 3n + 3 - 20#

Simplify by adding like terms on the same sides:

#-n + 15 > 3n -17#

Add #n# to both sides: #" "15 > 4n - 17#

Add #17# to both sides: #" "32 > 4n#

Divide both sides by #4: " "8 > n " "#which means #n < 8#