BTGmoderatorLU wrote: ↑

Wed May 06, 2020 7:19 am

Source: GMAT Prep

Which of the following inequalities indicates the set of all values of d for which the lengths of the three sides of a triangle can be 3, 4, and d?

A. 0<d<1
B. 0<d<5
C. 0<d<7
D. 1<d<5
E. 1<d<7

The OA is E

Note that for a triangle, the sum of any two sides is greater than the third side and the difference of any two sides is less than the third side.

We know the values of two sides: 3 and 4; thus, the third side, d, must be greater than 1 and less than 7.

The correct answer: E

Hope this helps!

-Jay
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