Write the converse, inverse, and contrapositive of the following conditional propositions. (Hint: If applicable, write each conditional proposition in standard form first.) a. Rose may graduate if she has 120 hours of OJT credits. b. A necessary condition for Bill to buy a computer is that he obtains P20,000. c. A sufficient condition for Katrina to take the algorithms course is that she passes discrete mathematics. d. The program is readable only if it is well-structured.
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If Rose has 120 hours of OJT credits then she may graduate.
If Rose may graduate then she has 120 hours of OJT credits.
If Rose do not have 120 hours of OJT credits then she may not graduate .
If rose may not graduate then she do not have 120 hours of OJT credits.
If Bill buy a computer then he obtains P20,000.
If Bill obtains P 20,000 then he buys a computer.
If Bill do not buy a computer then he does not obtain P 20,000.
If Bill do nat obtain P 20,000 then he does not buy a computer.
If katrina passes discrete mathematics then she takes the algorithms course.
If Katrina takes the algorithms course then she passes discrete mathematics.
If katrina does not pass discrete mathematics then she does not take the algorithms course.
If katrina does not take the algorithms course then she does not pass discrete mathematics.
If program is readable then it is well-structured.
If program is well structured then it is readable.
If program is not readable then it is not well-structured.
If program is not well-structured then it is not readable.