How do you solve #0.6 > 1.4+2.4x#?

Question

1684 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-05T05:08:45

See a solution process below:

First, subtract #color(red)(1.4)# from each side of the inequality to isolate the #x# term while keeping the inequality balanced:

#0.6 - color(red)(1.4) > 1.4 - color(red)(1.4) + 2.4x#

#-0.8 > 0 + 2.4x#

#-0.8 > 2.4x#

Now, divide each side of the inequality by #color(red)(2.4)# to solve for #x# while keeping the inequality balanced:

#-0.8/color(red)(2.4) > (2.4x)/color(red)(2.4)#

#-0.bar3 > (color(red)(cancel(color(black)(2.4)))x)/cancel(color(red)(2.4))#

#-0.bar3 > x#

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

#x < -0.bar3#