Respuesta :
1) Definitions:
1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:
conditional statement: p → q
inverse: ~p → ~q (the symbol ~ means the negation)
1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:
conditional statement: p → q
converse: q → p
2) converse of the given statement
conditional: If a line is vertical, then it has undefined slope.
converse: switch the hypothesis and the conclusion
if a line has undefined slope, then it is vertical <------- answer
3) Inverse of the given statement
conditional: if a line is vertical, then it has undefined slope.
inverse: negate both hypothesis and conclusion.
if a line is not vertical, then it does not have an undefined slope <---answer
1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:
conditional statement: p → q
inverse: ~p → ~q (the symbol ~ means the negation)
1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:
conditional statement: p → q
converse: q → p
2) converse of the given statement
conditional: If a line is vertical, then it has undefined slope.
converse: switch the hypothesis and the conclusion
if a line has undefined slope, then it is vertical <------- answer
3) Inverse of the given statement
conditional: if a line is vertical, then it has undefined slope.
inverse: negate both hypothesis and conclusion.
if a line is not vertical, then it does not have an undefined slope <---answer
1.) if the line has an undefined slope, then it is a verticle line.
2.) if the line is not vertical then it does not have an undefined slope