SOLUTION: I need help in understanding how to teach my daughter with graphing 4 inequality problems from her homework,I have tried to help my daughter and I can not remember how to do this

Question 574108: I need help in understanding how to teach my daughter with graphing 4 inequality problems from her homework,I have tried to help my daughter and I can not remember how to do this
The instructions on her homework read "Graph the following inequalities" each need to be on their own grid
1. x > 5
2. x <= -1
3. -3x - 1 <= -7
4. 3(x - 2)< 2(x + 1)
Any help would be greatly appreciated. Could you show the work so I can also understand how this is done. Thank you.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The instructions on her homework read "Graph the following inequalities" each need to be on their own grid
1. x > 5
Make a graph as if it's equal.
x = 5 is a "vertical" line thru (5,0)
Since it's >, greater than, the inequality is the area to the right of the line, not including the line.
-------------
2. x <= -1
Same as #1, but < is the left of the line, and the line is included because of the equal sign.
-------------
3. -3x - 1 <= -7
Solve for x first.
-3x <= -6
x >= 2
Same as above.
-----------------
4. 3(x - 2)< 2(x + 1)
3x-6 < 2x+2
x < 8
Same as the others.

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