Find the truth set of each predicate. (if your answer is an interval, enter it using interval notation; otherwise enter it as a comma-separated list.) (a) predicate: 10 d is an integer, domain: ℤ correct: your answer is correct. (b) predicate: 10 d is an integer, domain: ℤ+ correct: your answer is correct. (c) predicate: 1 ≤ x2 ≤ 4 , domain: ℝ (d) predicate: 1 ≤ x2 ≤ 4 , domain: ℤ correct: your answer is correct.

(a) Predicate: 10d is an integer

The domain is . In fact, integers are closed under multiplication, and 10 is an integer. So, if d is an integer, 10d is a multiplication between integers, and thus an integer.

(c)

Since 1 and 4 are both squares, we have

And we deduce that x must be between 1 and 2. But since negative numbers become positive when squared, the numbers between -2 and -1 are also fine. So, the domain is

Predicates (b) and (d) are identical to (a) and (c)

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c. histogram

step-by-step explanation: