Question

Two sides of a triangle have lengths 11 and 18. Write an inequality to represent the possible lengths for the third side, x.

Answer 1

Side inequality of triangle says that the sum of any two sides of a triangle has to be greater than the third side
so the sum of two given sides i.e. 11 + 18 = 29 > 3rd side
So 29 > 3rd side or we can say 3rd side < 29

Also, the third side cannot be smaller than the difference of the given two sides
so the third side has to be greater than 18-11 = 7
so 3rd side > 7

so if length of 3rd side is represented by x, then
7 < x < 29