http://www.ck12.org Chapter 2. Reasoning and Proof
c. Is∼p→∼qtrue? If not, find a counterexample.
d. Is∼q→∼ptrue? If not, find a counterexample.- p: the measure of^6 ABC= 90 ◦q:^6 ABCis a right angle
a. Isp→qtrue? If not, find a counterexample.
b. Isq→ptrue? If not, find a counterexample.
c. Is∼p→∼qtrue? If not, find a counterexample.
d. Is∼q→∼ptrue? If not, find a counterexample. - p: the measure of^6 ABC= 45 ◦q:^6 ABCis an acute angle
a. Isp→qtrue? If not, find a counterexample.
b. Isq→ptrue? If not, find a counterexample.
c. Is∼p→∼qtrue? If not, find a counterexample.
d. Is∼q→∼ptrue? If not, find a counterexample. - Write a conditional statement. Write the converse, inverse and contrapositive of your statement. Are they true
or false? If they are false, write a counterexample. - Write a true biconditional statement. Separate it into the two true conditional statements.