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