# math destroyer test 2 #40

Discussion in 'DAT Discussions' started by Vsno123, Aug 5, 2011.

1. ### Vsno123

Joined:
Jun 25, 2011
Messages:
105
2
Status:
Pre-Dental
I think I'm missing something because this seems like an easy problem to solve:

What is the largest possible value of x in the expression |16-2x| is less than or equal to 4?

The answer says to flip the equation to |2x-16|. I see that those two are equal but why do you have to flip the equation to solve this problem?

2. ### PooyaH 2+ Year Member

Joined:
Apr 24, 2008
Messages:
804
0
Status:
Pre-Dental
If it was to stay at l16-2xl then the highest x could be was 6. But when you change it to l2x-16l, now the highest x value would be 10. And obviously since 10 is greater than 6, it is the highest possible x value.

3. OP

### Vsno123

Joined:
Jun 25, 2011
Messages:
105
2
Status:
Pre-Dental
ok well that make sense lol... I guess I'll solve these absolute inequalities both ways and just pick the highest out of the two answers. thanks!

We’ve been on the Internet for over 20 years doing just one thing: providing career information for free or at cost. We do this because we believe that the health education process is too expensive and too competitive.

We believe that all students deserve the same access to high quality information. We believe that providing high quality career advice and information ensures that everyone, regardless of income or privilege, has a chance to achieve their dream of being a doctor.