Carcass wrote:
If |x + 1 | > 2x - 1, which of the following represents the correct range of values of x ?
A. x < 0
B. x < 2
C. -2 < x < 0
D. -1 < x < 2
E. 0 < x < 2
I find that the quickest solutions to this kind of question involve
testing the answer choicesScan the answer choices
Notice that some answer choices say that x = 1 is a solution and some say x = 1 is NOT a solution.
So, let's test x =
1Plug it into the original inequality to get: |
1 + 1 | > 2(
1) - 1
Simplify to get: 2 > 1
Perfect!
So, x = 1 IS a solution to the inequality.
Since answer choices A and C do NOT include x = 1 as a solution, we can ELIMINATE them.
Now scan the remaining answer choices (B, D and E)
Some answer choices say that x = -1 is a solution and some say x = -1 is NOT a solution.
So, let's test x =
-1Plug it into the original inequality to get: |(
-1) + 1 | > 2(
-1) - 1
Simplify to get: 0 > -3
Perfect!
So, x = -1 IS a solution to the inequality.
Since answer choices D and E do NOT include x = -1 as a solution, we can ELIMINATE them.
We're left with B
Answer: B
Cheers,
Brent
_________________
Brent Hanneson - founder of Greenlight Test Prep