SOLUTION: solve the linear inequality. 14 <= 3 - 4(x+8) my answer i distributed 14 into what was in parenthesis and got 14x + 12. then i did 3 and got 3x + 24. then -4 and got

Algebra ->  Inequalities -> SOLUTION: solve the linear inequality. 14 <= 3 - 4(x+8) my answer i distributed 14 into what was in parenthesis and got 14x + 12. then i did 3 and got 3x + 24. then -4 and got       Log On


   

Question 151748: solve the linear inequality. 14 <= 3 - 4(x+8)
my answer i distributed 14 into what was in parenthesis and got 14x + 12.
then i did 3 and got 3x + 24.
then -4 and got -4x-32. the equation then was 14x + 12 <= 3x + 24 -4x -32.
i then ( starting from the right) subtracted -4x from 3x and got -x. then subtracted -32 from 24 and got -8.
then the equation was 14x + 12 <= -x -8.
i then canceled out -x by subtracting the opposite and added +x to 14x and got 15x.
the equation was 15x + 12 <= -8
then i subtracted the opposite of 12 from -8 and got -20.
the equation was 15x <= -20.
then divided everything by 15 and got x <= -0.75
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

14%3C=3-4%28x%2B8%29 Start with the given inequality.


14%3C=3-4x-32 Distribute.


14%3C=-4x-29 Combine like terms on the right side.


0%3C=-4x-29-14 Subtract 14 from both sides.


4x%3C=-29-14 Add 4x to both sides.


4x%3C=-43 Combine like terms on the right side.


x%3C=%28-43%29%2F%284%29 Divide both sides by 4 to isolate x.


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Answer:

So the answer is x%3C=-43%2F4


Which approximates to x%3C=-10.75