SOLUTION: solve and graph 4 isless than 2x-2 is less than 10.

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Question 25016: solve and graph 4 isless than 2x-2 is less than 10.
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
Consider this a problem with three parts: the left part, the center part, and the right part. Whatever you do to one part, you must do to ALL three parts, in order to keep the inequality in balance.
4<2x-2 <10

Start by adding +2 to the left, the middle, and the right.
4+2 <2x -2+2 <10+2
6<2x <12

Next, to undo the 2 times the x, divide each part by 2:
6%2F2+%3C%282x%29%2F2+%3C12%2F2
3+%3C+x+%3C+6+

To graph it, draw a numberline, locate the numbers 3 and 6 to the right of zero on the numberline, and shade all values between 3 and 6. You need to put either parentheses or open circles on the endpoints 3 and 6 to indicate that the endpoints are NOT included.

R^2 at SCC