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).

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 of x and y be the set of integers.Let P(x, y) denote "x = y^2."Then, from the following, the one that is False isQuestion 7Answera.ForEvery x ThereExists y NOT P(x, y).b.ForEvery y ThereExists x P(x, y).c.ThereExists x ForEvery y NOT P(x, y).d.ForEvery x ThereExists y P(x, y).

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 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 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) ].