How do you solve #2( v + 4) < 3( 1- v )#?

1 Answer
Nov 17, 2016

#v<-1#

Explanation:

Distribute the brackets on both sides of the inequality.

#2v+8<3-3v#

add 3v to both sides.

#2v+3v+8<3cancel(-3v)cancel(+3v)#

#rArr5v+8<3#

subtract 8 from both sides.

#5vcancel(+8)cancel(-8) <3-8#

#rArr5v<-5#

To solve for v, divide both sides by 5.

#(cancel(5) v)/cancel(5)<(-5)/5#

#rArrv<-1" is the solution"#