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Which of the following gives all possible values of x in the figure ab
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Author:  Bunuel [ 26 Apr 2019, 05:41 ]
Post subject:  Which of the following gives all possible values of x in the figure ab


Which of the following gives all possible values of x in the figure above?

A. 1 < x < 4
B. 1 < x < 7
C. 3 < x < 5
D. 4 < x < 7
E. 5 < x < 12


PS05602.01
Quantitative Review 2020 NEW QUESTION


Attachment:
2019-04-26_1739.png
2019-04-26_1739.png [ 8.42 KiB | Viewed 15283 times ]

Author:  BrentGMATPrepNow [ 26 Apr 2019, 09:07 ]
Post subject:  Which of the following gives all possible values of x in the figure ab

Bunuel wrote:

Which of the following gives all possible values of x in the figure above?

A. 1 < x < 4
B. 1 < x < 7
C. 3 < x < 5
D. 4 < x < 7
E. 5 < x < 12



IMPORTANT RULE: If two sides of a triangle have lengths A and B, then . . .
DIFFERENCE between A and B < length of third side < SUM of A and B

Applying the above rule, we get: 4 - 3 < x < 4 + 3
Simplify: 1 < x < 7

Answer: B

RELATED VIDEO

Author:  m1033512 [ 26 Apr 2019, 19:04 ]
Post subject:  Re: Which of the following gives all possible values of x in the figure ab

Sum of the two sides should always be greater than the third side
only B satisfy this condition



award kudos if helpful

Author:  Archit3110 [ 28 Apr 2019, 02:50 ]
Post subject:  Re: Which of the following gives all possible values of x in the figure ab

third side rule simple
sum <7 and >1
IMO B

Bunuel wrote:

Which of the following gives all possible values of x in the figure above?

A. 1 < x < 4
B. 1 < x < 7
C. 3 < x < 5
D. 4 < x < 7
E. 5 < x < 12


PS05602.01
Quantitative Review 2020 NEW QUESTION


Attachment:
2019-04-26_1739.png

Author:  EgmatQuantExpert [ 23 May 2019, 04:20 ]
Post subject:  Re: Which of the following gives all possible values of x in the figure ab

Solution


Given
In this question, we are given
    • The diagram of a triangle PQR, with side lengths PQ = 3, QR = 4, and PR = x

To Find
We need to determine
    • Among the given choices, which range defines all possible values of x.

Approach & Working
We know that, for any given triangle, sum of any two sides is always greater than the third side.

Therefore, we can say
    • 3 + 4 > x
    Or, x < 7

Similarly, x + 4 > 3
    Or, x > 1

Combining the two results, we can conclude 1 < x < 7.

Hence, the correct answer is option B.


Author:  ScottTargetTestPrep [ 27 May 2019, 18:17 ]
Post subject:  Re: Which of the following gives all possible values of x in the figure ab

Bunuel wrote:

Which of the following gives all possible values of x in the figure above?

A. 1 < x < 4
B. 1 < x < 7
C. 3 < x < 5
D. 4 < x < 7
E. 5 < x < 12


PS05602.01
Quantitative Review 2020 NEW QUESTION


Attachment:
2019-04-26_1739.png



In any triangle, the length of the third side must be more than the difference of the other sides and less than the sum of those two sides. Therefore, we have:

4 - 3 < x < 4 + 3

1 < x < 7

Answer: B

Author:  MHIKER [ 19 Nov 2020, 08:50 ]
Post subject:  Re: Which of the following gives all possible values of x in the figure ab

Bunuel wrote:

Which of the following gives all possible values of x in the figure above?

A. 1 < x < 4
B. 1 < x < 7
C. 3 < x < 5
D. 4 < x < 7
E. 5 < x < 12


PS05602.01
Quantitative Review 2020 NEW QUESTION


Attachment:
2019-04-26_1739.png


A property of a triangle is: The length of the third side must be greater than the difference of the other two sides and less than the sum of those two sides.

So, \(4 - 3 < x < 4 + 3\) \(= 1 < x < 7\)

The Answer is B

Author:  bumpbot [ 20 Sep 2022, 07:26 ]
Post subject:  Re: Which of the following gives all possible values of x in the figure ab

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