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Determine the truth value of each simple statement. Then, using the truth values

ID: 3008997 • Letter: D

Question

Determine the truth value of each simple statement. Then, using the truth values, determine the truth value of the compound statement.

If square root 4 = 2, then square root 49 = 7.

Determine the truth value of each simple statement.

choose one A,B,C or D

A. The truth value for square root 4 = 2 is true and the truth value for square root 49 = 7 is true.

B. The truth value for square root 4 = 2 is true and the truth value for square root 49 = 7 is false.

C. The truth value for square root 4 = 2 is false and the truth value for square root 49 = 7 is false.

D. The truth value for square root 4 = 2 is false and the truth value for square root 49 = 7 is true.

Now, Out of the one you chose, Is the compound statement true or false?

Explanation / Answer

the truth value of the simple statement

we know that inside the squareroot we can only have values greater then or equal to zero

so the square root of 4 is 2 is true and like wise square root 49 is = 7 is true as well.

hence statement (A) is correct . t

the compound statemen If square root 4 = 2, then square root 49 = 7.

is false as the truth value of both the statements is independent of each other.

square root 4 will always be 2 and so will square root 49 = 7

so the second statement need not wait for the first statement truth value

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