Use the information below to determine the cardinality of the set. U = {x | x ? N and x ? 12} A = {x | x ? N and 6 < x < 12} B = {x | x ? N and x is even and x < 12}n(U)

A. 13
B. 11
C. 12
D. 9


Answer: C

Mathematics

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What is the maximum value of ? Consider only positive x-values.

A.
B. ?
C. ?
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Multiply. Assume that no radicands were formed by raising negative numbers to even powers.( + 1)( - 1)

A. 2 + 2
B. 2 - 2
C. 4
D. 2

Mathematics

Provide an appropriate response.Greg and Andrea want to buy a house, so they have decided to save one fifth of each of their salaries. Greg earns $15.00 per hour and receives an extra $5.00 a week because he declined company benefits, and Andrea earns $14.00 per hour plus benefits. They want to save at least $175.00 each week. How many hours must they each work each week?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Determine if each ordered pair is a solution to the given system of inequalities in two variables.y = x - 1y2 = -4x(i) (-1, -2); (ii) (1, 0)

A. (i) No; (ii) No B. (i) Yes; (ii) No C. (i) No; (ii) Yes D. (i) Yes; (ii) Yes

Mathematics