SOLUTION: 2-4(x+1)>=2(x-1)-18 [Write the solution set in interval notation.]

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Question 1051991: 2-4(x+1)>=2(x-1)-18 [Write the solution set in interval notation.]
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

2-4%28x%2B1%29%22%22%3E=%22%222%28x-1%29-18

2-4x-4%22%22%3E=%22%222x-2-18

-4x-2%22%22%3E=%22%222x-20

Subtract 2x from both sides:

-2x-2%22%22%3E=%22%22-20

Add 2 to both sides:

-2x%22%22%3E=%22%22-18

Divide both sides by -2.  Since this is
dividing both sides by a negative number,
the inequality symbol must be reversed:

x%22%22%3C=%22%229

Graph on a number line with a darkened circle
at 9 because it's %22%22%3C=%22%22, not %22%22%3C%22%22.

<=================================☻------------------
-2 -1  0  1  2  3  4  5  6  7  8  9 10 11 12 13 14

The interval notation is an abbreviation of the graph
on a number line. The darkened circle is denoted by "]"
and the rightmost point of the interval is 9, and the
interval goes to negative infinity on the left side, so 
the interval notation is

         matrix%281%2C5%2C%22%28%22%2C-infinity%2C%22%2C%22%2C9%2C%22%5D%22%29

Edwin