Write the statement in symbolic form.Let p: The outside humidity is low.  q: The central humidifier is running.  r: The air in the house is getting dry.It is false that if the air in the house is getting dry, then the central humidifier is not running.

A. ~ (r ? ~ q)
B. ~ r ? ~ q
C. ~ (r ? q)
D. ~ (r ? ~ q)


Answer: D

Mathematics

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A. 26%, $48.75 B. 2.5%, $48.75 C. 25%, $48.75 D. 27%, $48.75

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For the given functions f and g, find the requested function and state its domain.f(x) = 2x - 6; g(x) = 9x - 5Find f - g.

A. (f - g)(x) = 7x + 1; all real numbers
B. (f - g)(x) = 11x - 11; {x|x ? 1}
C. (f - g)(x) = -7x - 11; {x|x ? - }
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Find the domain and range of the function.f(x) = 7|x| + sin x

A. Domain: (-?, ?); range: [0, ?) B. Domain: [0, ?); range: [0, ?) C. Domain: [0, ?); range: (-?, ?) D. Domain: (-?, ?); range: (-?, ?)

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Solve the problem.3(x + 1) - 1 > 14 and 4(3x + 1) +1 < 13

A.  ? (4?)
B.  
C. (4?)
D. ?

Mathematics