In the rectangular coordinate system, what is the area of th

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fskilnik@GMATH: GMAT Instructor; Posts: 1449; Joined: Sat Oct 09, 2010 2:16 pmFollowed by: 33 members; Thanked: 59 times

by fskilnik@GMATH » Tue Feb 26, 2019 3:13 pm

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GMATH practice exercise (Quant Class 20)

Answer: [spoiler]____(C)__[/spoiler]

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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Source: Beat The GMAT — Problem Solving | Tue Feb 26, 2019 3:13 pm

jpcameron17: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Wed Feb 27, 2019 4:11 am

by jpcameron17 » Wed Feb 27, 2019 6:18 am

Could you please upload the image of the system described? It's impossible to answer the question otherwise.

fskilnik@GMATH: GMAT Instructor; Posts: 1449; Joined: Sat Oct 09, 2010 2:16 pmFollowed by: 33 members; Thanked: 59 times

by fskilnik@GMATH » Wed Feb 27, 2019 7:09 am

jpcameron17 wrote:Could you please upload the image of the system described? It's impossible to answer the question otherwise.

The "image of the system" is part of the solution! As you will see below, it is almost the whole solution itself!

Regards,
Fabio.

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

fskilnik@GMATH: GMAT Instructor; Posts: 1449; Joined: Sat Oct 09, 2010 2:16 pmFollowed by: 33 members; Thanked: 59 times

by fskilnik@GMATH » Wed Feb 27, 2019 7:11 am

fskilnik@GMATH wrote:GMATH practice exercise (Quant Class 20)

$$? = {S_{{\rm{shaded}}}}\,\,\,:\,\,\,\,\left\{ \matrix{
\,xy > 0\, \hfill \cr
\,0 < y < 2\,\,\,\, \hfill \cr
\,x < y + 1 \hfill \cr} \right.\,\,\,\,\,\, \cong \,\,\,\,\,\,\,\,\,\left\{ \matrix{
\,x > 0\, \hfill \cr
\,0 < y < 2\,\,\,\, \hfill \cr
\,y > x - 1 \hfill \cr} \right.\,$$

$$? = {S_{\rm{I}}} + {S_{{\rm{II}}}} = 1 \cdot 2 + {{\left( {3 - 1} \right) \cdot 2} \over 2} = 4\,\,\,\,\, \Rightarrow \,\,\,\,\left( {\rm{C}} \right)$$

We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

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