** Translate each of the following in english and determine its truth value. a-

Question

** Translate each of the following in english and determine its truth value.

a- The universal set for all variables is R1.

b- Let C(x,y) mean that student x is enrolled in class y, where the universe of discourse for x is the set of all students at a school this semester, and for y is the set of all classes offered at school the same semester. Express each of the statements by a simple english statement

c- Express in simple english the bare denial of the statement: " Every child ate some part of each slice of every pizza."

Explanation / Answer

Answer for a-

1. For all the x, there exists a variable in R1 y such that the sum of x and y is zero.

2. There is atleast one x and atleast one y such that sum of x and y is 1 and product of x and y is 0.

3. There is atleast one x such that x belongs to Q and square of x is 2.

4. There is atleast one x and atleast one y and for all the z, the sum of x and z is z and product of y and z is z.

b-

1. There exists atleast one    such that there is no student y who has offered the english class at school this semester.

2.

c.s

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