Question

What is the answer to 7n-2(n+5)< 3n-16

Answer 1

7n-2(n+5)< 3n-16  / -3n-16
7n-2(n+5)-3n+16<0
5n-3n-10+16<0
2n-10+16<0
2n+6<0 / -6
2n< -6  / :2
n< -6/2
n< -3
nє(-∞:-3)

Answer 2

7n-2(n+5)< 3n-16
7n-2n+10<3n-16      Distribute the 2 into n+5   
5n+10<3n-16          Subtract like figures
5n-3n+10<3n-3n-1  Subtract 3n from each side. (You want the variable on ONE side.)
2n+10-10<-16-10     Isolate the variable. Negative plus negative= bigger negative.
2n/2< -26/2             Negative divided by positive= smaller negative. Divide by 2 to isolate.
n<-13