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Determine the truth value of the given statement.
If |x| = 4, then x = 4. False
State whether the given biconditional is true or false. Assume that x and y are real numbers.
x2 = 49 if and only if x = 7. False
State whether the given biconditional is true or false.
5 = 1 if and only if 6 = 8. True
Write the sentence in symbolic form. Use v, p, and t as defined below.
v: "I will take a vacation."
p: "I get the promotion."
t: "I will be transferred."
If I am transferred, then I will not take a vacation.
A: v → t
B: t → v
C: ~v → t
D: t → ~v D: t → ~v
, List the elements of the sample space defined by the experiment. (Enter your answers as a
comma-separated list.)
Select an even single-digit whole number. {0, 2, 4, 6, 8}
List the elements of the sample space defined by each experiment.
Toss a coin and then choose a digit from the digits 1 through 4.
A: {HH, HT, TH, HH}
B: {H1, H2, H3, H4, T1, T2, T3, T4}
C: {1, 2, 3, 4, HH, HT, TH, HH}
D: {H, T, H1, H2, H3, H4, T1, T2, T3, T4}
E: {1, 2, 3, 4} B:{H1, H2, H3, H4, T1, T2, T3, T4}
Use the counting principle to determine the number of elements in the sample space.
Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, 6, 7, and 8. 56
Use the counting principle to determine the number of elements in the sample space.
The possible ways to complete a true-false examination consisting of 27 questions. 2^27
Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
How many numbers are greater than 36? 63 numbers