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 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 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 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 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 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.