Absolute Value inequality problem

Question

Two sides of a triangle measure 39cm and 15cm. Write and solve an absolute value inequality stating the possible lengths of the third side. State the solution set and graph.

Answer 1

minimum value of 3rd side is the difference, 39-15 = 24

maximum value is the sum or 39+15 = 54

Third side = T is between 24 and 54

24<T < 54

or in interval notation

(24,54)