Determine the truth value of each simple statement Then usin

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?

Solution

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