Question #0e470

1 Answer
Feb 2, 2018

#6<=x#

Explanation:

After writing the inequality, solve it like a regular equation for #x#:

#3(x+3)<=5x-3#
Distribute the #3# on the left side:
#3x+9<=5x-3#

Combine like terms by subtracting #3x# and adding #3# to both sides:
#12<=2x#
Divide both sides by #2#:
#6<=x#

So #6# is the lowest possible value for #x#.
You can verify this by plugging #6# in to see if the original statement is true: #3(6+3)<=5(6)-3#
#=> 3(9)<=30-3#
#=> 27<=27#
So #6# works!

You can try it with a lower number like #5# if you want to see if #6# is really the lowest. (It is!)