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

Algebra ->  Inequalities -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
These aren't equations. They are inequalities.

# 1

Graph of x%3E0. Note: there's an open circle at x=0




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# 2

Graph of x%3C=-5. Note: there's an closed circle at x=-5




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# 3

-2x%2B3%3C=9 Start with the given inequality.


-2x%3C=9-3 Subtract 3 from both sides.


-2x%3C=6 Combine like terms on the right side.


x%3E=%286%29%2F%28-2%29 Divide both sides by -2 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E=-3 Reduce.


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Answer:

So the solution is x%3E=-3


The graph looks like



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


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# 4

-3%28x-4%29%3E4%28x%2B3%29 Start with the given inequality.


-3x%2B12%3E4x%2B12 Distribute.


-3x%3E4x%2B12-12 Subtract 12 from both sides.


-3x-4x%3E12-12 Subtract 4x from both sides.


-7x%3E12-12 Combine like terms on the left side.


-7x%3E0 Combine like terms on the right side.


x%3C%280%29%2F%28-7%29 Divide both sides by -7 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C0 Reduce.


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Answer:

So the solution is x%3C0


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