Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included!
23 Apr 2024, 07:43
Kudos
Bookmarks
If \(\frac{\sqrt{x^2}}{\sqrt[3]{x^3}}=-1\) and \(x \neq 0\), what is the value of \(\frac{2|x| + 6}{3 - x}\) ?
A. -2
B. 1
C. 2
D. 3
E. Cannot be determined from the given information
A. -2
B. 1
C. 2
D. 3
E. Cannot be determined from the given information
23 Apr 2024, 07:43
Kudos
Bookmarks
Official Solution:
If \(\frac{\sqrt{x^2}}{\sqrt[3]{x^3}}=-1\) and \(x \neq 0\), what is the value of \(\frac{2|x| + 6}{3 - x}\) ?
A. -2
B. 1
C. 2
D. 3
E. Cannot be determined from the given information
\(\frac{\sqrt{x^2}}{\sqrt[3]{x^3}} = -1\) simplifies to \(\frac{|x|}{x} = -1\), which then yields \(|x| = -x\). This indicates that \(x\) must be negative. If \(x < 0\), then \(|x| = -x\), and thus we get \(\frac{-2x + 6}{3 - x} = \frac{2(3 - x)}{3 - x} = 2\).
Answer: C
If \(\frac{\sqrt{x^2}}{\sqrt[3]{x^3}}=-1\) and \(x \neq 0\), what is the value of \(\frac{2|x| + 6}{3 - x}\) ?
A. -2
B. 1
C. 2
D. 3
E. Cannot be determined from the given information
\(\frac{\sqrt{x^2}}{\sqrt[3]{x^3}} = -1\) simplifies to \(\frac{|x|}{x} = -1\), which then yields \(|x| = -x\). This indicates that \(x\) must be negative. If \(x < 0\), then \(|x| = -x\), and thus we get \(\frac{-2x + 6}{3 - x} = \frac{2(3 - x)}{3 - x} = 2\).
Answer: C
17 Mar 2025, 10:40
Kudos
Bookmarks
Here since x is negative we get the expression as \frac{2|x| + 6}{3 - (- x)} = \frac{2|x| + 6}{3 + x} , right ?
Bunuel
