Let the universe of discourse be the set of positive integers. By selecting True or False, give the truth value of the following:ThereExistsUnique x (x = 2x + 1).Question 15AnswerTrueFalse

Let the universe of discourse be the set of negative integers. By selecting True or False, give the truth value of the following:ThereExistsUnique x (x^2 = 1).Question 16AnswerTrue False

Let the universe of discourse be the set of negative integers. By selecting True or False, give the truth value of the following:ForEvery x (| 2x + 1 | > 1).Question 9AnswerTrue False

Let the universe of discourse be the set of real numbers. By selecting True or False, give the truth value of the following:ForEvery x ForEvery y ThereExists z (x + y = z^2).Question 3AnswerTrue False

Let the universe of discourse of x and y be the set of integers.Given:(1) ThereExists x ThereExists y [ (x + y = 4) AND (x - y = 1) ].(2) ThereExists x ThereExists y [ x^2 + y^2 = 26 ].Select one of the following choices:Question 11Answera.(1) is False and (2) is True.b.(1) is True and (2) is False.c.(1) and (2) are True.d.(1) and (2) are False.

Let the universe of discourse of x and y be the set of real numbers.Let P(x) denote "x is even." Let Q(x) denote "x is an integer."Then, "Every integer is odd." can be expressed asQuestion 1Answera.ForEvery x [ NOT Q(x) OR NOT P(x) ].b.ForEvery x NOT P(x).c.None of the Given Choices.d.ForEvery x [ P(x) AND Q(x) ].e.ForEvery x [ P(x) -> Q(x) ].