How do you solve #6-18x<=4-13x-4x#?

Question

1606 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-17T12:11:20

See the entire solution process below:

First, combine like terms on the right side of the inequality:

#6 - 18x <= 4 - 13x - 4x#

#6 - 18x <= 4 + (-13 - 4)x#

#6 - 18x <= 4 + (-17)x#

#6 - 18x <= 4 - 17x#

Now, add #color(red)(18x)# and subtract #color(red)(4)# from each side of the inequality to solve for #x# while keeping the inequality balanced:

#-color(red)(4) + 6 - 18x + color(red)(18x) <= -color(red)(4) + 4 - 17x + color(red)(18x)#

#2 - 0 <= 0 + (-17 + color(red)(18))x#

#2 <= 1x#

#2 <= x#

To state the solution in terms of #x# we reverse or "flip" the inequality:

#x >= 2#