Chapter 7.3, Problem 16PSB

a

To determine

The restrictions on the x coordinate of point B are to be found

Answer to Problem 16PSB

The restrictions on the x coordinate of point B are $6<x<11$

Explanation of Solution

Given information : The following coordinates are given

  $A=(1,4)$

  $C=(11,10)$

We know that $AB>BC$ . Thus we know that point B will be on the right side of the midpoint of AC.

Hence, we the midpoint M of AC.

  $M=(6,7)$

Hence, we know that B will be on the right side of M, but before C. thus, we get

  $6<x<11$

b

To determine

The restrictions on the y coordinate of point B are to be found

Answer to Problem 16PSB

The restrictions on the y coordinate of point B are $7<y<10$

Explanation of Solution

Given information : The following coordinates are given

  $A=(1,4)$

  $C=(11,10)$

We know that $AB>BC$ . Thus we know that point B will be on the right side of the midpoint of AC.

Hence, we the midpoint M of AC.

  $M=(6,7)$

Hence, we know that B will be on the right side of M, but before C. thus, we get

  $7<y<10$