SOLUTION: -(3*7 < = -4 power 2 -8(x-2)+7x < = -(12*3) _______ ___________ ___________ ___________ 14/2 ) (2/3x + 17y)power 0 +5

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Question 173123: -(3*7 < = -4 power 2 -8(x-2)+7x < = -(12*3)
_______ _______________________ ___________
14/2 ) (2/3x + 17y)power 0 +5 -3 power 2
solve for x
this is extra credit but I got 50>= x >= 56 which can't be correct?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'm assuming that the inequality is



First, note that ANY number (except 0) to the zeroth power is 1. So this means that


Also, -3*7=-21 and . So the left side goes from to which reduces to


Also, -12*3=-36 and . So the right side goes from to which reduces to


So the inequality





simplifies to







-----------------------------------------------------


Start with the given compound inequality


Square 4 to get 16


Distribute


Combine like terms.


Multiply ALL sides by 6


Divide ALL sides by -1 to isolate "x" (this will flip the signs)



==================================================================

Answer:


So the solution is




So the answer in interval notation is []


Also, the answer in set-builder notation is


Here's the graph of the solution set on a number line:

Graph of the solution set

Note:
There is a closed circle at which means that we're including this value in the solution set
Also, there is a closed circle at which means that we're including this value in the solution set.
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