SOLUTION: solve the inequality and graph the solution set 3(4m-1)+7>28

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Question 708803: solve the inequality and graph the solution set 3(4m-1)+7>28
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%284m-1%29%2B7%3E28 Start with the given inequality.


12m-3%2B7%3E28 Distribute.


12m%2B4%3E28 Combine like terms on the left side.


12m%3E28-4 Subtract 4 from both sides.


12m%3E24 Combine like terms on the right side.


m%3E%2824%29%2F%2812%29 Divide both sides by 12 to isolate m.


m%3E2 Reduce.


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Answer:

So the solution is m%3E2

To graph m%3E2, follow these steps

Step 1) Draw out a number line. Make sure that this number line includes the number 2.

Step 2) Plot a circle at the point 2 on the number line.

Step 3) Make sure you keep this circle an open circle (ie NOT filled in). You don't fill in the circle because we have a > sign. This tells you to exclude the endpoint.

Step 4) Shade to the right of this circle to completely graph m>2. You shade to the right because there is a > sign.


So to sum things up, you plot an OPEN circle at 2 and shade to the RIGHT.