Solution Found!
Let Q(x. y) be the statement “x + y = x – y.” If the
Chapter 7, Problem 26E(choose chapter or problem)
Let Q(x. y) be the statement “x + y = x – y.” If the domain for both variables consists of all integers, what are the truth values?
a) \(Q(1,1)\)
b) \(Q(2,0)\)
c) \(\forall y Q(1, y)\)
d) \(\exists x Q(x, 2)\)
e) \(\exists x \exists y Q(x, y)\)
f) \(\forall x \exists y Q(x, y)\)
g) \(\exists y \forall x Q(x, y)\)
h) \(\forall y \exists x Q(x, y)\)
i) \(\forall x \forall y Q(x, y)\)
Questions & Answers
QUESTION:
Let Q(x. y) be the statement “x + y = x – y.” If the domain for both variables consists of all integers, what are the truth values?
a) \(Q(1,1)\)
b) \(Q(2,0)\)
c) \(\forall y Q(1, y)\)
d) \(\exists x Q(x, 2)\)
e) \(\exists x \exists y Q(x, y)\)
f) \(\forall x \exists y Q(x, y)\)
g) \(\exists y \forall x Q(x, y)\)
h) \(\forall y \exists x Q(x, y)\)
i) \(\forall x \forall y Q(x, y)\)
ANSWER:Step 1 of 9
Given Statement “x + y = x – y.” , If Q(1,1)
we have to justify it, This equation is exist or not according to the given variable number.
Here, x = 1 , y =1
So that, \(x+y=2, x-y=0, \text { So, } 2 \neq 0\)
So, x + y = x - y is False.