Question

Solve each inequality or equation. Graph the solution (number line).

5 abs. value 3w+2 abs value -3 >7

(I don't know how to do the absolute value sign so I typed it down...

Answer 1

\[5\left| 3w \right|+2\left| -3 \right|>7\]?

Answer 2

5|3w+2|-3>7 (FOund the sign...)

Answer 3

Ok. Well, you need to add three to both sides and then divide by five to isolate the absolute value.

Answer 4

5|3w+2|>10
Do you divide the 5 to both sides or do you distribute it?

Answer 5

Divide :)

Answer 6

3/5w +2/5> 10 or 3/5w+2/5<-10
3/5w>9 and 3/5 3/5w<-10.4
w>16 and w<17 and 1/3
Is this correct?

Answer 7

\[\left| 3w+2 \right|=2\]

Answer 8

sorry, greater than

Answer 9

2

Answer 10

For this problem i need two answers so sorry but can you point blanky just tell me the answer and how you got there on the margin next to it, please. <^.^>

Answer 11

3/5w +2/5> 2 or 3/5w+2/5<-2
3/5w>1 and 3/5 3/5w<-2 and 2/5
w>2/3 w<-4
Is this correct? (Sorry about the earlier comment I was just confused what you were telling me)

Answer 12

w is greater than zero or less than negative four thirds. I can't do the number line thing, sorry. You have the general idea, but I think your execution is a little shoddy. The absolute value breaks down to \[3w+2>2\]or\[3w+2<-2\]You solve for w in both equations by first substracting 2 from both sides\[3w >0\]or\[3w<-4\]Then you need to divide both sides by three, which will give the answers I showed you. Always remember to test your values by tesing near values which you think don't make the inequality true

Answer 13

Thank you so much! <^.^>