Question

Two sides of a triangle have lengths 8 and 17. Which inequalities represent the possible lengths for the third side, x?

Answer 1

a 9 < x < 17
b 9 < x < 8
c 8 < x < 17
d 9 < x < 25

Answer 2

if x is one of the smaller sides then:
\[\Large 8+x > 17\]

if x is the biggest side then:
\[\Large 8+17 > x\]

Answer 3

since, sum of any two sides of a triangle is bigger than the third side

Answer 4

so you get,
x>9
and
25>x

so, D