On a coordinate plane, a circle is centered at (5,5) and a triangle is centered at (-3,5). What is the distance between the centers of the circle and triangle?

The shapes don't really play a role in this story, do they.  Both points are on the horizontal line y=5 so the distance between them is the absolute difference of the x coordinates, 5- -3 = 8

8

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

21

step-by-step explanation: