SOLUTION: I am having problems figuring out what the absolute value is for this problem: Solve by first writing the inequality in the form absolute value of w

SOLUTION: I am having problems figuring out what the absolute value is for this problem: Solve by first writing the inequality in the form absolute value of w > a, where a>0, 2/3 absolute v

Question 59194: I am having problems figuring out what the absolute value is for this problem: Solve by first writing the inequality in the form absolute value of w > a, where a>0, 2/3 absolute value x-4+4>9-1/2 absolute value of x-4.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2/3 absolute value x-4+4>9-1/2 absolute value of x-4.
----------------
(2/3)|x-4|+4 > 9-(1/2)|x-4|
(2/3)|x-4| > 5-(1/2)|x-4|
[2/3 + 1/2]|x-4| >5
(7/6)|x-4| > 5
[x-4| > 30/7
x-4 > 30/7 or x-4 < -30/7
x>58/7 or x<-2/7
Cheers,
Stan H.

RELATED QUESTIONS
Hi, I need help in figuring out the following: I need to solve the problem by using an... (answered by rapaljer)

I am having problems figuring out how to solve this problem: The volume of a cube is... (answered by stanbon,checkley71)

I am having a hard time figuring out this story problem: There are n teams and the number (answered by checkley71)

I need help to solve this problem I am having problems figuring it out Find the x -... (answered by venugopalramana,checkley75)

I am having issues figuring out the inverse variation. Here is the problem Suppose z (answered by RAY100,jim_thompson5910)

I am having a hard time figuring this out and I cannot come up with any possible solution (answered by stanbon)

This is Colby Spence which email is Colbyspence@ymail.com. I having a hard time figuring (answered by KMST)

I am having trouble figuring out what the inequality symbol for less than. Will you... (answered by Alan3354)

Could somebody please help me with the following inequality I am having trouble figuring... (answered by rothauserc)