Point Q is on line segment PR. Given QR = 2x + 4, PQ = 2, and PR = 4x – 10, determine the numerical length of PR.

PR = 22

Step-by-step explanation:

Because point Q ∈ PR (∈ means belongs to), we know that PQ + QR = PR due to the Parts Whole Postulate. Therefore, using substitution, we can write the following equation:

2 + 2x + 4 = 4x - 10

2x + 6 = 4x - 10

-2x = -16

x = 8 so PR = 4(8) - 10 = 22.

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