Which ordered pair makes both inequalities true?
2 answers:
You might be interested in
Step-by-step explanation:
Consider the provided information.
For the condition statement or equivalent "If p then q"
- The rule for Converse is: Interchange the two statements.
- The rule for Inverse is: Negative both statements.
- The rule for Contrapositive is: Negative both statements and interchange them.
Part (A) If it snows tonight, then I will stay at home.
Here p is If it snows tonight, and q is I will stay at home.
Converse: If I will stay at home then it snows tonight.
Inverse: If it doesn't snows tonight, then I will not stay at home.
Contrapositive: If I will not stay at home then it doesn't snows tonight.
Part (B) I go to the beach whenever it is a sunny summer day.
Here p is I go to the beach, and q is it is a sunny summer day.
Converse: It is a sunny summer day whenever I go to the beach.
Inverse: I don't go to the beach whenever it is not a sunny summer day.
Contrapositive: It is not a sunny summer day whenever I don't go to the beach.
Part (C) When I stay up late, it is necessary that I sleep until noon.
P is I sleep until noon and q is I stay up late.
Converse: If I sleep until noon, then it is necessary that i stay up late.
Inverse: When I don't stay up late, it is necessary that I don't sleep until noon.
Contrapositive: If I don't sleep until noon, then it is not necessary that i stay up late.