U = { z | z is an integer and − 1 ≤ z < 2 }
1 answer:
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use midpoint equation
radius = distance between midpoint and one of the endpoints.
midpoint: (3+5)/2, (2+6)/2, (5+7)/2 = (4,4,6)
equation of sphere: (x-4)^2 + (y-4)^2 + (z-6)^2 = r^2
square distance between midpoint and one of the endpoints.
r^2 = 6
Equation: (x-4)^2 + (y-4)^2 + (z-6)^2 = 6
Use this 3 following steps:
1)At first, we should find the roots :
3x+8=0 => x=-8/3
x-4=0 => x=4
2)Using a chart for the limits:
photo
3)choose your solution:
[-8/3,-4)==> Sentence 3 is correct
