By the triangle inequality theorem, if two sides of a triangle have lengths of 3 and 7, what are all the possible lengths of the third side?

4 < x < 10

Step-by-step explanation:

4 < x < 10

difference < x < sum

7 - 3 < x < 7 + 3

4 < x < 10

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x