Converse: If your temperature is 98.6°F, then your temperature is normal.Biconditional: _________your temperature is normal if and only if your temperature is 98.6_______Write True or False for each statement. A biconditional is true only if both the conditional and theconverse are true. If the biconditional is false, give a counterexample.7. Conditional: If x = 1, then x > 0. _________true____________Converse: If x > 0, then x = 1. _________false____________Biconditional: x = 1 if and only if x > 0. _________false____________Counterexample: _____2______________________________________________8. Conditional: If it is 3:30 A.M., then it is night. ________true_____________Converse: If it is night, then it is 3:30 A.M. ________false_____________Biconditional: It is 3:30 A.M. if and only if it is night. _________false____________Counterexample: ___________10 pm_______________________________________9. Maria says, “I will graduate from high school if and only if I earn a high school diploma.” Tell if

Name Jordi Cruz Maria’s biconditional statement is true or false. _________ true____________

Name Jordi Cruz Section 2.4 PracticeWrite the conditional statement and converse within each biconditional.1. The tea kettle is whistling if and only if the water is boiling.Conditional:_if the tea kettle is whistling, then the water is boiling Converse:______if the water is boiling, then if the tea kettle is whistling____2. A biconditional is true if and only if the conditional and converse are both true.Conditional:__if the conditional and converse are both true, then a biconditional is true______ Converse:__if an biconditional, then conditional and converse are both true_____________________For each conditional, write the converse and a biconditional statement.3. Conditional: If n is an odd number, then n - 1 is divisible by 2.Converse:______if n-1 is divisible by 2 , then its an odd number __________________________________________________________Biconditional:______________________________________________________________4. Conditional: An angle is obtuse when it measures between 90° and 180°.Converse:_____if an angle is in between 90 and 180 , then its an obtuse _____________________________________________________ Biconditional:_if an angle is an obtuse if and only if it is between 90 and 180__________________________________________Determine whether a true biconditional can be written from eachconditional statement. If not, give a counterexample.5. If the lamp is unplugged, then the bulb does not shine._______________false_____________________________________________________________6. The date can be the 29th if and only if it is not February._______________false_____________________________________________________________Write each definition as a biconditional.7. A cube is a three-dimensional solid with six square faces.__________a_cube is a three dimensional solid if and only if it has six square faces _________________________________________________________________8. Tanya claims that the definition of doofus is “her younger brother.”_______if tanya claims that the def of doodus if and only if it is her younger brother

Name Jordi Cruz _____________________________________________________________________

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- Fall '19
- Logic, Deductive Reasoning, Inductive Reasoning, Jordi Cruz