In order to create the negation of conditional statement "If p then q", it needs to be changed to read

A. "If q, then p"

B. "If not p, then not q"

C. "If not q, then p"

D. "If p, then not q"

Question

Mathematics

Noodle

Today, 01:37

In order to create the negation of conditional statement "If p then q", it needs to be changed to read

A. "If q, then p"

B. "If not p, then not q"

C. "If not q, then p"

D. "If p, then not q"

+1

Answers (2)

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Allison Moore · Answer 1

D. "If p, then not q"

Step-by-step explanation:

The conditional statement is in the form of "if p, then q"

And negation of a conditional statement means the sentence is equivalent to "p and not q."

By definition, p → q is false if, and only if, its hypothesis, p, is true and its conclusion, q, is false. So, basically it is not q.

So, answer is : D. "If p, then not q"

Royce · Answer 2

C is your answer because it is more resinous

In order to create the negation of conditional statement "If p then q", it needs to be changed to readA. "If q, then p"B. "If not p, then not q"C. "If not q, then p"D. "If p, then not q"

In order to create the negation of conditional statement "If p then q", it needs to be changed to read

A. "If q, then p"

B. "If not p, then not q"

C. "If not q, then p"

D. "If p, then not q"