Two sides of a triangle are given as 28 inches and 42 inches. find all possible lengths for the third side of the triangle

The longest side of a triangle must be less than the sum of the other 2 sides

2 senarios

the 3rd side is the longest

the 3rd side is not the longest

for the 3rd side is the longest

3rdside<28+42

3rdside<70

for 3rd side isn't the longest

42 is longest

42<28+3rdside

14<3rdside

so we've got

3rdside<70 and 14<3rdside

so

14<3rdside<70

the 3rd side can be any number from 14in to 70in except 14in and 70in