-
ostrowskiamy
- Junior | Next Rank: 30 Posts
- Posts: 26
- Joined: Thu Oct 25, 2012 2:08 pm
Hi folks! Thanks SO much for the many answers I received to my previous post (I moved onto inequalities in the interim, but I'll loop back on those answers with some well-deserved "thank you's" and responses asap!
This one threw me:
"If (AB)/7 > (1/14) and A = B, which of the following must be greater than 1?
A) A+B
B) 1-A
C) 2A(^2)
D) A(^2)-(1/2)
E) A
The solution provided explains that:
14AB > 7 (cross multiply to get that)
2AB>1 (then, divide both sides by 7)
= 2A(^2) > 1, so the answer is C.
...Why divide by 7? I thought we would need to divide both sides by 14, to get the inequality alone??
Thank you in advance for any insights/tips!
Best,
Amy
This one threw me:
"If (AB)/7 > (1/14) and A = B, which of the following must be greater than 1?
A) A+B
B) 1-A
C) 2A(^2)
D) A(^2)-(1/2)
E) A
The solution provided explains that:
14AB > 7 (cross multiply to get that)
2AB>1 (then, divide both sides by 7)
= 2A(^2) > 1, so the answer is C.
...Why divide by 7? I thought we would need to divide both sides by 14, to get the inequality alone??
Thank you in advance for any insights/tips!
Best,
Amy
