SOLUTION: Could you please help me with this problem 2 is less than or equal to x plus 2 divided by negative 5 is less than or equal to 6

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Question 224484: Could you please help me with this problem 2 is less than or equal to x plus 2 divided by negative 5 is less than or equal to 6
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
Okay, from your statment this is what I assume is going on:
2%3C=%28x%2B2%29%2F5%3C=5
So, we need to solve for x, first thing to do is get rid of the 5 in the denominator. We can do this by multiplying all parts of the equation by 5.
5%2A2%3C=5%2A%28%28x%2B2%29%2F5%29%3C=5%2A5
This yields:
10%3C=x%2B2%3C=25, since the 5 in the middle term canceled.
Next, move the 2 by subtracting it from all sides.
10-2%3C=x%2B2-2%3C=25-2
This gives us the final answer:
8%3C=x%3C=23.
Good luck!