Determine the truth value of each of the following statements if the domain consists of all integers. If it is true, find a different domain for which it is false. If it is false, find a different domain for which it is true. Justify your answer. EXAMPLE: Vx (x ≤2x) Answer: False. If x=-1, then 2x = -2 and -1 > -2. True when the domain consists of all nonnegative integers x, x ≤2x. (a) Vr ((x+2) is even) (b) x (264) (c) VbVx (b² has a maximum value of 256) (d) x ([x/2x/2] = 0) (e) Vx ([x/2][2/2] = 1)
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![Determine the truth value of each of the following statements if the domain consists of all integers. If it is
true, find a different domain for which it is false. If it is false, find a different domain for which it is true.
Justify your answer.
EXAMPLE: Vx (x ≤2x)
Answer:
False. If x=-1, then 2x = -2 and -1 > -2.
True when the domain consists of all nonnegative integers x, x ≤2x.
(a) Vr ((x+2) is even)
(b) x (264)
(c) VbVx (b² has a maximum value of 256)
(d) x ([x/2x/2] = 0)
(e) Vx ([x/2][2/2] = 1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0dac0b6-5a17-4cd9-bac9-9e2e50ac9cbc%2F89319713-b00f-4cf2-850f-e4d2999f1a44%2Fofe50li_processed.png&w=3840&q=75)
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