How do you evaluate #8- 4x > 2- 3x#?

1 Answer
smendyka
Jan 2, 2017

To evaluate this inequality you need to add and subtract the necessary terms from each side of the inequality to solve for #x#. Detailed process steps below

Explanation:

To evaluate this inequality we need to add #color(orange)(4x)# and subtract #color(red)(2)# from each side of the inequality to solve for #x# and keep the inequality balanced:

#8 - 4x + color(orange)(4x) - color(red)(2) > 2 - 3x + color(orange)(4x) - color(red)(2)#

Now we can group and combine like terms:

#8 - color(red)(2) - 4x + color(orange)(4x) > 2 - color(red)(2) - 3x + color(orange)(4x)#

#6 - 0 > 0 + 1x#

#6 > x#

Lastly, we can reverse or flip the inequality to put the solution in terms of #x#:

#x < 6#

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