How do you solve #4> 15v - 14#?

Question

499 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-18T16:07:30

See a solution process below:

First, add #color(red)(14)# to each side of the inequality to isolate the #v# term while keeping the inequality balanced:

#4 + color(red)(14) > 15v - 14 + color(red)(14)#

#18 > 15v - 0#

#18 > 15v#

Next, divide each side of the inequality by #color(red)(15)# to solve for #v# while keeping the equation balanced:

#18/color(red)(15) > (15v)/color(red)(15)#

#(6 xx 3)/color(red)(5 xx 3) > (color(red)(cancel(color(black)(15)))v)/cancel(color(red)(15))#

#(6 xx color(red)(cancel(color(black)(3))))/color(red)(5 xx color(black)(cancel(color(red)(3)))) > v#

#6/5 > v#

We can reverse or "flip" the entire inequality to state the solution in terms of #v#:

#v < 6/5#