GMAT Changed on April 16th - Read about the latest changes here

 It is currently 26 Apr 2018, 17:37

### 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the rectangular coordinate system above, the shaded region is bound

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44655
In the rectangular coordinate system above, the shaded region is bound [#permalink]

### Show Tags

11 Dec 2017, 23:12
1
KUDOS
Expert's post
00:00

Difficulty:

(N/A)

Question Stats:

89% (00:44) correct 11% (00:00) wrong based on 18 sessions

### HideShow timer Statistics

In the rectangular coordinate system above, the shaded region is bounded by straight lines. Which of the following is NOT an equation of one of the boundary lines?

(A) x = 0
(B) y = 0
(C) x = 1
(D) x – y = 0
(E) x + 2y = 2

[Reveal] Spoiler:
Attachment:

2017-12-12_1002_002.png [ 4.31 KiB | Viewed 340 times ]
[Reveal] Spoiler: OA

_________________
SC Moderator
Joined: 22 May 2016
Posts: 1574
In the rectangular coordinate system above, the shaded region is bound [#permalink]

### Show Tags

12 Dec 2017, 08:48
1
This post was
BOOKMARKED
Bunuel wrote:

In the rectangular coordinate system above, the shaded region is bounded by straight lines. Which of the following is NOT an equation of one of the boundary lines?

(A) x = 0
(B) y = 0
(C) x = 1
(D) x – y = 0
(E) x + 2y = 2

[Reveal] Spoiler:
Attachment:
2017-12-12_1002_002.png

Eliminate vertical and horizontal lines in Answers A, B, and C.

A is the y-axis, B is the x-axis, C, x=1, is the vertical line parallel to the y-axis. All are boundaries.

Answer D is correct. Rewrite as x = y. That line, nowhere to be seen, has a positive slope that runs at exactly 45° from the origin. It is not a boundary.

Answer E is the downward-sloped line, the boundary for the top of the enclosed region.

Rewrite E as y = $$-\frac{1}{2x}$$ + 1. Set x equal to zero: the y-intercept is 1. Correct. Set y equal to zero: the x-intercept is 2. Correct

[Reveal] Spoiler:
D

_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

In the rectangular coordinate system above, the shaded region is bound   [#permalink] 12 Dec 2017, 08:48
Display posts from previous: Sort by