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Novosadov [1.4K]
2 years ago
6

The graph of which of the following inequalities has open circles on -8 and 2 with a line segment between them

Mathematics
2 answers:
Helen [10]2 years ago
6 0

Answer:

Option C is correct answer.

Step-by-step explanation:

since -8 and 2 are end points with open circle therefore

If  l x -a l < R

means  -R< x-a< R

              -R+a<x <a+R

 Comparing it with -8<x<2 gives

                  a-R= -8

                  a+R= 2

  Adding both ,we get  2a = -6  which equals a =-3

        plugging the value a =-3 in equation a+R=2

          -3+R=2 gives R =5

therefore   the inequality is lx-(-3) l < 5

on simplifying we get

                   l x+3< 5

Option C is the correct answer

Korolek [52]2 years ago
3 0
A. Can NOT be true since the absolute value will be greater than 0.
B. Does NOT work with the solutions -8 and 2.
C.√ Correct
|-8+3| = 5
|2+3| = 5

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