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

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

Start with the given inequality.

Distribute.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the solution is

To graph , 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.
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