The implication x → y is equivalent to?

Correct Answer is : ~ y →→→ ~ x

Correct Answer is : ~ y →→→ ~ x

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WAEC Mathematics 2020 Paper

Question : 10

Total: 48

\to

y is equivalent to?

Solution:

Concept:

The contrapositive of an implication is logically equivalent to the original implication.

Explanation:

The implication

x \to y

states that if

x

is true, then

y

must be true.

To form its contrapositive, negate both the hypothesis and conclusion, and reverse the direction.

Thus,

x \to y \equiv \sim y \to \sim x

So the equivalent statement is

\sim y \to \sim x

Answer:

\sim y \to \sim x

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