Given, three segments of length x,(11-x) and (x-4) respectively. Which of the following indicates the set of all numbers "x"such that the three segments could be the lengths of the sides of the triangle? a) x4 b) 0

Question

Given, three segments of length x,(11-x) and (x-4) respectively. Which of the following indicates the set of all numbers "x"such that the three segments could be the lengths of the sides of the triangle?

a) x>4

b) 0<x<11

c) 4<x<11

d) 5<x<7

mayankdevnani · Answer

@experimentX       @UnkleRhaukus       @Algebraic!       @zzr0ck3r        @robtobey 
@Compassionate         @ChrisS     @ivanmlerner

mayankdevnani · Answer

@eyust707

mayankdevnani · Answer

plz help me

zzr0ck3r · Answer

Im not so great with this stuff

mayankdevnani · Answer

so plz solve it

zzr0ck3r · Answer

"im not so great with this stuff" implies that I'm not sure what to do.

unklerhaukus · Answer

lengths are always measured to be positive

mayankdevnani · Answer

but effort you can do

unklerhaukus · Answer

the first segment implies that x is positive

unklerhaukus · Answer

the second segment implies x is not greater than 11

zzr0ck3r · Answer

O yeah ok, just make sure none of the factors are less than 0

unklerhaukus · Answer

x>0
11-x>0
  x-4>0

zzr0ck3r · Answer

x cant be less than 4 because (3.99999-4) = a negative number, and triangles dont have negative lengths

zzr0ck3r · Answer

Understand

zzr0ck3r · Answer

understand?*

unklerhaukus · Answer

if the sides of a triangle are a, b, c
where c is the largest side of the triangle

a+b>c

mayankdevnani · Answer

then

mayankdevnani · Answer

no

mayankdevnani · Answer

@experimentX     plzz

experimentx · Answer

make use of triangle inequality.

mayankdevnani · Answer

what is the triangle inequality

experimentx · Answer

sum of two sides is always greater than the other side.

mayankdevnani · Answer

then howz do

experimentx · Answer

x+(11-x) > (x-4) 
x+(x-4) > (11-x)
(x-4)+11-x > x

mayankdevnani · Answer

ok then

experimentx · Answer

put this on Wolf ... maybe you will get an answer.

mayankdevnani · Answer

what is wolf

experimentx · Answer

http://www.wolframalpha.com/input/?i=Polar+Plot+sin%283theta%29

mayankdevnani · Answer

it doesn't  work
my question does'nt feed into this site

mayankdevnani · Answer

then

zzr0ck3r · Answer

Did we not answer this? x must be > 4 because you cant have a triangle of length -anything.
x must be less than 11 for the same reason so -4<x<11

mayankdevnani · Answer

but answer is option d

mayankdevnani · Answer

@mathslover

zzr0ck3r · Answer

see told you im no good with this:) when one of the optiions was my answer  i thought I was right:)

mayankdevnani · Answer

ok

mayankdevnani · Answer

then

experimentx · Answer

http://www.wolframalpha.com/input/?i=x%2B%2811-x%29+%3E+%28x-4%29%3B++x%2B%28x-4%29+%3E+%2811-x%29%3B+%28x-4%29%2B11-x+%3E+x

mayankdevnani · Answer

thnx.......      @experimentX