13. In this problem, the domain of discourse is the set of all integers. Which a

Question

13. In this problem, the domain of discourse is the set of all integers. Which an existential statement is true, give an example. counterexample. statements are true? If a universal statement is false, give a 14. In the following question, the domain of discourse is a set of students who attend a school. Define the following predicates E(x): x is enrolled in the class T(x): x took the test. Translate the following English statements into a logical expression with the same meaning: a. Someone took the test who is not enrolled in the class b. All enrolled students took the test C. Everyone who took the test is enrolled. d. No one took the test. e. At least one enrolled student did not take the test.

Explanation / Answer

Q 13.

a.) False

For this statement to be true, x+x = 1 for some integer x

=> 2*x = 1 => x = 1/2 which is not an integer

So above given statement is false.

b.) False

Counter example is x=0.

x2 - x = 0 - 0 = 0

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.