Use De Morgan's laws to write a statement that is equivalent to the given statement. ~p ? (q ? ~r)
A. (~q ? r) ? p
B. p ? (~q ? ~r)
C. (~q ? ~r) ? p
D. p ? (~q ? r)
Answer: A
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Graph the solution set of the inequality and express it in interval notation.|x - 4| < 8
A. (-12, 4 )
B. (-?, -4 ) ? (12, ?)
C. (-?,-12 ) ? (4, ?)
D. (-4, 12)
Solve the problem.Determine whether the ordered triple (2, 9, -4) is a solution of the system of equations.2x - 5y - 9z = -5 x + y + z = 73x - y + 5z = 35
A. Yes B. No
Solve.209 chocolates are to be packed into boxes each of which will contain 9 chocolates. How many boxes of chocolates will there be? How many chocolates will be left over?
A. 22 boxes; 2 chocolates left over B. 23 boxes; 2 chocolates left over C. 23 boxes; no chocolates left over D. 22 boxes; 3 chocolates left over
Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.121y2 - 9x2 = 1089
A. center: (0, 0)
transverse axis: y = 0
vertices: (-3, 0), (3, 0)
foci: (-11, 0), (11, 0)
asymptotes: y = - x and y =
x
B. center: (0, 0)
transverse axis: x = 0
vertices: (0, -3) and (0, 3)
foci: (0, -) and (0,
)
asymptotes: y = - x and y =
x
C. center: (0, 0)
transverse axis: y = 0
vertices: (-11, 0), (11, 0)
foci: (-, 0) , (
, 0)
asymptotes: y = - x and y =
x
D. center: (0, 0)
transverse axis: x = 0
vertices: (0, -3), (0, 3)
foci: (-, 0) , (
, 0)
asymptotes: y = - x and y =
x