SOLUTION: Hello, Could you please help me with graphing the following equations? I need examples to study from as I am totally lost on how to graph. Thank you so much ! Graph the followi

Question 376314: Hello, Could you please help me with graphing the following equations? I need examples to study from as I am totally lost on how to graph. Thank you so much !

Graph the following equations
1.) x > 0
2.) x less then or equal to -5
3.) -2x + 3 less then or equal to 9
4.) -3(x - 4)> 4(x + 3)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
These aren't equations. They are inequalities.

# 1

Graph of . Note: there's an open circle at x=0

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# 2

Graph of . Note: there's an closed circle at x=-5

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# 3

Start with the given inequality.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.

Reduce.

----------------------------------------------------------------------

Answer:

So the solution is

The graph looks like

Note: there's an closed circle at x=-3

----------------------------------------------------------------------
# 4

Start with the given inequality.

Distribute.

Subtract from both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.

Reduce.

----------------------------------------------------------------------

Answer:

So the solution is

Here's the graph of the solution set

Note: there's an open circle at x=0

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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