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Gnoma [55]
2 years ago
9

Negate the conditional statement.

Mathematics
1 answer:
Tpy6a [65]2 years ago
3 0

(not <em>a</em> or not <em>b</em>) implies <em>c</em>   <==>   not (not <em>a</em> or not <em>b</em>) or <em>c</em>

so negating gives

not [(not <em>a</em> or not <em>b</em>) implies <em>c</em>]   <==>   not[ not (not <em>a</em> or not <em>b</em>) or <em>c</em>]

which we can simplify somewhat to

not (not (not <em>a</em> or not <em>b</em>)) and not <em>c</em>

(not <em>a</em> or not <em>b</em>) and not <em>c</em>

(not <em>a</em> and not <em>c</em>) or (not <em>b</em> and not <em>c</em>)

not (<em>a</em> or <em>c</em>) or not (<em>b</em> or <em>c</em>)

not ((<em>a</em> or <em>c</em>) and (<em>b</em> or <em>c</em>))

not ((<em>a</em> and <em>b</em>) or <em>c</em>)

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