Q:

Use the given conditional statement to determine the converse and inverse statements. If a line is vertical, then it has undefined slope.

Accepted Solution

A:
1) Definitions:

1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:

conditional statement: p β†’ q

inverse: ~p β†’ ~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 β†’ q

converse: q β†’ p

2)Β  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.

Β if a line is not vertical, then it does not have an undefined slope <---answer