Return to Blog
Homepage
PCAT Quantitative Reasoning – Absolute Value Inequality
- by
- Apr 19, 2018
- PCAT Question of the Day
Evaluate |4 – 3a|> 2a + 6.
A. a < –2
B. a > 10
C. –2 < a < 10
D. a < –2 or a > 10
Click for Explanation
D is correct. To solve an expression that includes an absolute value, we must solve for the outcome where the value inside the absolute signs is positive, and for the outcome where the value inside the absolute signs is negative:
| a – 3 | > 2a + 6
4 – 3a > 2a +6 – (4 – 3a) > 2a + 6
-a > 2 -4 + 3a > 2a + 6
a < -2 or a > 10
Related Post
Search the Blog
Free Consultation
Interested in our Online MCAT Course or one of our One-on-One MCAT Tutoring packages? Set up a free consultation with one of our experienced Academic Managers!
Schedule NowPopular Posts
-
MCAT Blog How To Prep For The MCAT During COVID-19 -
-
-
MCAT Blog How is the MCAT Scored? -
MCAT Blog Should You Retake the MCAT? -
-
Free MCAT Practice Account
Need great MCAT practice?Get the most representative MCAT practice possible when you sign up for our free MCAT Account, which includes a half-length diagnostic exam and one of our full-length MCAT practice exams.
Learn More
Submit a Comment