Determine the truth value of each of these statements if the domain of each variable consists of all real numbers. a. 3x (x ² = 2) b. 3x (x ² = -1) c. Vx (x ²+2 Ã ¢ ¥ 1) d. Vx (x ² + x)

The Answer to the Question
is below this banner.

Can't find a solution anywhere?

NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?

You will get a detailed answer to your question or assignment in the shortest time possible.

Here's the Solution to this Question

Part a

$\exist x (x^2 =2)\\ Here \space x= ∓ \sqrt{2} \space \space so \space satisfy$ . Ture

Part b

$\exist x (x^2 =1)\\$

Since for no real number, the square can be negative. So it is false.

Part c

$\forall x (x^2+2*)$

* These symbols are not proper of the reformulate up to the best of my knowledge $\forall x (x^2 \land x \not= 1)$ False

Part d

$\forall x (x^2+x)$

Since for every real number x2+x has a solution. True