SOLUTION: Given: If D then B If K then D K or C ~B Prove: C

Algebra.Com
Question 693981: Given: If D then B
If K then D
K or C
~B
Prove: C

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

1.  D -> B
2.  K - > D
3.  K v C
4.  ~B                   :.    C
-------------------------------------
5.  ~D                        1,4     Modus Tollens
6.  ~K                        2,5     Modus Tollens
7.  C                         3,6     Disjunctive Syllogism

RELATED QUESTIONS

If (a/b)=(c/d)= k , b,d ≠ 0 , prove that (a+c)/(b+d) = k (answered by mccravyedwin,math_tutor2020)
If k is a positive even integer , then (k+1)(k+2) could equal which of the following ? (answered by richwmiller)
If n and k are integers whose product is 400, which of the following statements... (answered by Edwin McCravy)
If x^a = y^b = k and x^c = y^d = t , then which of the following is true: A) ac=bd... (answered by MathLover1)
prove that if {{{a (answered by MathLover1)
if a,b ,c. are in HP. then prove that a/c =d-c/b... (answered by psbhowmick)
If the average (arithmetic mean) of k and 7k is 60, then k = a)7.5 b) 8 c) 9.5 d) 15 (answered by fwm5007)
If 6^2x+1=k , then 6^4x+3 equals: A) 12k B) k^2 + 6 C) 6k^2 D) 2k+6 E)... (answered by greenestamps)
If 6^(2x+1)=k , then 6^(4x+3) equals: A) 12k B) k^2 + 6 C) 6k^2 D) 2k+6 E)... (answered by Edwin McCravy,ikleyn)