5 - v < 6, 5 - v >= 0

-5 + v < 6, 5 - v < 0

1) - v < 6 -5 (move 5 to the right side and then multiply by -1 both sides of the inequality)
v > -1 (don't forget that here v <= 5)

2) v < 6 + 5 (move -5 to the right side)
v < 11 (here v should be more than 5)

so from 1) you get that v is from -1 to 5 inclusive (-1;5]
and from 2) you get that v is from 5 to 11 (5;11)

so by adding up results from 1) and 2) you get v is (-1; 11)

answer: (-1; 11)

3 0

3 years ago

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Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these

Klio2033 [76]

Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.

Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.

This is a combination problem. The formula would be:

12! / (8! x 4!) = 495

8 0

3 years ago