Need help with algebra

label Algebra
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Two sides of a triangle measure 2x – 4 and 7x – 2 units, respectively. Which of these is a possible length for the third side of the triangle?

A)

B)

C)

D)

May 11th, 2015

According to a theorem, 
"Sum of two sides of a triangle is always greater than its third side." 

Sum of the sides given:9x-6 
So, option D is clearly ruled out. 

Also, option A is ruled out as 3x+2x-4=5x-4<9x-6(for x>1/2). 

Option C is also ruled out as 5x+2+2x-4=7x-2. 

Therefore, option B is correct.

May 11th, 2015

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