SOLUTION: Ok. This question is very hard for me and I am a very smart student. 6 + 5x < 8 + 4x and 2x - 21 > 11 - 6x and 2 + 3x > or = 12 - 2x

Algebra ->  Graphs -> SOLUTION: Ok. This question is very hard for me and I am a very smart student. 6 + 5x < 8 + 4x and 2x - 21 > 11 - 6x and 2 + 3x > or = 12 - 2x      Log On


   

Question 292722: Ok. This question is very hard for me and I am a very smart student.
6 + 5x < 8 + 4x
and
2x - 21 > 11 - 6x
and
2 + 3x > or = 12 - 2x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1



6%2B5x%3C8%2B4x Start with the given inequality.


5x%3C8%2B4x-6 Subtract 6 from both sides.


5x-4x%3C8-6 Subtract 4x from both sides.


x%3C8-6 Combine like terms on the left side.


x%3C2 Combine like terms on the right side.


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Answer:

So the solution is x%3C2

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# 2



2x-21%3E11-6x Start with the given inequality.


2x%3E11-6x%2B21 Add 21 to both sides.


2x%2B6x%3E11%2B21 Add 6x to both sides.


8x%3E11%2B21 Combine like terms on the left side.


8x%3E32 Combine like terms on the right side.


x%3E%2832%29%2F%288%29 Divide both sides by 8 to isolate x.


x%3E4 Reduce.


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Answer:

So the solution is x%3E4

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# 3



2%2B3x%3E=12-2x Start with the given inequality.


3x%3E=12-2x-2 Subtract 2 from both sides.


3x%2B2x%3E=12-2 Add 2x to both sides.


5x%3E=12-2 Combine like terms on the left side.


5x%3E=10 Combine like terms on the right side.


x%3E=%2810%29%2F%285%29 Divide both sides by 5 to isolate x.


x%3E=2 Reduce.


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Answer:

So the solution is x%3E=2