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You can put this solution on YOUR website!
statement = if a then b
\n" ); document.write( "converse = if b then a
\n" ); document.write( "inverse = if not a then not b
\n" ); document.write( "contra-positive = if not b then not a
\n" ); document.write( "the statement and its contra-positive are equivalent
\n" ); document.write( "this means that if the statement is true, then the contra-positive is true, and vice versa.
\n" ); document.write( "the converse and the inverse are equivalent.
\n" ); document.write( "this means that if the converse is true, then the inverse is also true, and vice versa.
\n" ); document.write( "if the statement is true, the converse may or may not be true.
\n" ); document.write( "your problem says to write a converse and a contra-positive statement.
\n" ); document.write( "we'll do that below:
\n" ); document.write( "statement:
\n" ); document.write( "if a burglar lives in the house, then it is not safe to go outside tonight.
\n" ); document.write( "converse:
\n" ); document.write( "if it is not safe to go outside tonight, then a burglar lives in the house.
\n" ); document.write( "contra-positive:
\n" ); document.write( "if it is safe to go outside tonight, then a burgles does not live in the house.
\n" ); document.write( "-----
\n" ); document.write( "let a = a burglar lives in the house.
\n" ); document.write( "let not a = a burglar does not live in the house.
\n" ); document.write( "let b = it is not safe to go outside tonight.
\n" ); document.write( "let not b = it is safe to go outside tonight.
\n" ); document.write( "statement translates to:
\n" ); document.write( "if a then b
\n" ); document.write( "converse translates to:
\n" ); document.write( "if b then a
\n" ); document.write( "contra-positive translates to:
\n" ); document.write( "if not b then not a
\n" ); document.write( "-----
\n" ); document.write( "this agrees with the rules stated above.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "