course Mth 151 ** The statement is equivalent to 'If it's a Marine, it loves boot camp' or equivalent.
......!!!!!!!!...................................
16:15:21 3.3.6 rewrite using if then ' all marines love boot camp '.
......!!!!!!!!...................................
RESPONSE --> If all marines love boot camp then all marines would go to boot camp confidence assessment: 2
.................................................
......!!!!!!!!...................................
16:16:40 ** The statement is equivalent to 'If it's a Marine, it loves boot camp' or equivalent. The statement is not equivalent to 'if it is boot camp, then all Marines love it', which is the converse of the original statement. **
......!!!!!!!!...................................
RESPONSE --> so we add 'if it's a to Marine' and add 'then all marines love it self critique assessment: 3
.................................................
......!!!!!!!!...................................
16:19:01 3.3.18 ~p false q false p -> q true
......!!!!!!!!...................................
RESPONSE --> if ~p is false hten p->q is true confidence assessment: 1
.................................................
......!!!!!!!!...................................
16:20:37 ** Since ~p is false then p is true. Since q is false it follows that p -> q is of the form T -> F, which is false. The conditional is false when, and only when, the antecedent is true and the consequent false. **
......!!!!!!!!...................................
RESPONSE --> q is false becuase p is true self critique assessment: 2
.................................................
......!!!!!!!!...................................
16:21:06 Query 3.3.36 write in symbols 'If play canceled, then it does not rain.'
......!!!!!!!!...................................
RESPONSE --> confidence assessment: 0
.................................................
......!!!!!!!!...................................
16:23:29 ** If p stands for 'play canceled' and r for 'it rains' then the statement would be p -> ~q. **
......!!!!!!!!...................................
RESPONSE --> where did we get the ~q from? I would have write it as r->p self cr itique assessment: 2
.................................................
......!!!!!!!!...................................
17:34:57 Query 3.3.48 q true, p and r false, evaluate and (-r U p) -> p
......!!!!!!!!...................................
RESPONSE --> r is false and p is true when p is true confidence assessment: 2
.................................................
......!!!!!!!!...................................
17:37:04 ** The antecedent (~r U p ) would be true, since ~r true and p false. The consequent p would be false. Since the antecedent is true and the consequent false, the conditional is false. **
......!!!!!!!!...................................
RESPONSE --> ok self critique assessment: 3
.................................................
......!!!!!!!!...................................
18:37:26 Query 3.3.60 truth table for (p ^ q) -> (p U q)
......!!!!!!!!...................................
RESPONSE --> P Q P^Q P Q PvQ T T T T T T T F F T F T F T F F T T F F F F F F (p^q) -> (p U q) = F confidence assessment: 3
.................................................
......!!!!!!!!...................................
18:40:22 ** The headings would be p, q ,(p^q), (pUq), (p^q)->(pUq) Row 1 would read T T T T T Row 2 would read T F F T T Row 3 would read F T F T T Row 4 would read F F F F T The common sense of this is that whenever both p and q are true, then the statement 'p or q' must be true. That's what means to say (p ^ q) -> (p U q). The fact that this statement is true is indicated by the last column of the truth table, which has True in every possible case. **
......!!!!!!!!...................................
RESPONSE --> the respons eis true because the las column on the last row is true self critique assessment: 3
.................................................
......!!!!!!!!...................................
18:41:39 Query 3.3.72 negation of ' if loving is wrong then I don't want to be right'
......!!!!!!!!...................................
RESPONSE --> If loving is right then I want to be right confidence assessment: 3
.................................................
......!!!!!!!!...................................
18:43:40 ** The negation has to have the exact opposite truth values of the original statement. It is difficult and confusing to try to negate a conditional. It is much easier to translate the conditional to a disjunction then negate the disjunction. It is easy to negate the disjunction using deMorgan's Laws. Since p -> q is identical to ~p U q, the negation of p -> q is ~ ( ~p U q), which by de Morgan's Law is ~ ~p ^ ~q, or just p ^ ~q. So the negation would ge 'loving you is wrong AND I want to be right. COMMON ERROR AND NOTE: If loving you is wrong, then I want to be right. INSTRUCTOR COMMENT: The negation of a conditional can't be a conditional (a conditional is false in only one case so its negation would have to be false in three cases). **
......!!!!!!!!...................................
RESPONSE --> so loving you is wrong and I want to be right would make it a negation instead of changing it to 'right' self critique assessment: 3
.................................................
q{y؈U]c assignment #014 014. `query 14 College Algebra 03-17-2009
......!!!!!!!!...................................
21:17:26 3.3.6 rewrite using if then ' all marines love boot camp '.
......!!!!!!!!...................................
RESPONSE --> If Marines then love boot camp confidence assessment: 2"