in 13 - 15, determine the truth value of the following statement for each set of conditions. if you finish…

in 13 - 15, determine the truth value of the following statement for each set of conditions. if you finish your homework by 5 p.m., then you go out to dinner. 13. you finish your homework by 5 p.m. and you go out to dinner. 14. you finish your homework by 4 p.m. and you go out to dinner. 15. you finish your homework by 5 p.m. and you do not go out to dinner.

in 13 - 15, determine the truth value of the following statement for each set of conditions. if you finish your homework by 5 p.m., then you go out to dinner. 13. you finish your homework by 5 p.m. and you go out to dinner. 14. you finish your homework by 4 p.m. and you go out to dinner. 15. you finish your homework by 5 p.m. and you do not go out to dinner.

Answer

Brief Explanations:

A conditional statement "if p then q" is false when p is true and q is false, and true otherwise. In statement 13, the hypothesis (p: finish homework by 5 P.M.) is true and the conclusion (q: go out to dinner) is true. In statement 14, finishing by 4 P.M. also satisfies the hypothesis (since it's before 5 P.M.) and the conclusion is true. In statement 15, the hypothesis is true but the conclusion is false.

Answer:

  1. True
  2. True
  3. False