SOLUTION: solve the inequality 6+3y<4(3-x) for y and graph the solution. Please show me this step by step because I think I went wrong somewhere down the line, and I need to see where. Thank

Question 148204: solve the inequality 6+3y<4(3-x) for y and graph the solution. Please show me this step by step because I think I went wrong somewhere down the line, and I need to see where. Thanks in advance!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality.

Distribute.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Break up the fraction.

Reduce

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

Answer:

So the answer is

Now let's graph the equation (replace the inequality sign with an equals sign)

Graph of

Now plug in a test point (0,0) into the inequality

Start with the given inequality.

Plug in and

Evaluate and simplify.

Since the inequality is true, this means that we shade the entire region that contains the point (0,0)

In other words, we simply shade the entire region that is below the line.

Graph of with the shaded region in green

note: the boundary should be a dotted line.

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