SOLUTION: 3(W + 7) < W � 3 or 4W

SOLUTION: 3(W + 7) < W � 3 or 4W > W � 6

Question 174314: 3(W + 7) < W � 3 or 4W > W � 6
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Let's solve the first inequality :

Start with the first 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 .

Reduce.

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

Now let's solve the second inequality :

Start with the second inequality.

Subtract from both sides.

Combine like terms on the left side.

Divide both sides by to isolate .

Reduce.

So our answer is or

So the solution in interval notation is: (

)

(

)

Also, the solution in set builder notation is:

Here's the graph of the solution set

Note:
There is an open circle at which means that we're excluding that value from the solution set.

Also, there is an open circle at which means that we're excluding that value from the solution set.

RELATED QUESTIONS
4w/w-3=?/(w-3)(w+6) Solve for the ? (answered by MathLover1,MathTherapy)

Solve the following compound inequality for W and express your solution in Interval... (answered by RAY100)

4w-5w+3(w-7)=-4+7 (answered by rfer,jim_thompson5910)

w^2-4w-21/w^2-6w+9 * w-3/w-7 =... (answered by dabanfield)

w+3/4w /... (answered by stanbon)

64. 4w-1/3w+6 � w-1/3 = w-1/w+2 w=2 (answered by Edwin McCravy)

Add. 4/w+3 +... (answered by Fombitz)

W+14/4w+6=3/4 (answered by jim_thompson5910)

(w-7)... (answered by Jeannie1012)