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If a → b is true, then ~a → b is also true.

If a → b is true, then ~a → b is also true.-example-1

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2 votes

Answer:

False

Explanation:

To determine whether the statemaent "If
a\Rightarrow b is true, then
\\eg a\Rightarrow b is also true" holds, you can form the truth table:


\begin{array}{ccccc}a&b&a\Rightarrow b&\\eg a&\\eg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}

When the result of the column
a\Rightarrow b takes value 1 (true), the result of the column
\\eg a\Rightarrow b is not always 1, then the statement is false.

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