et p and q be two statements as shown. p: The carpet is rectangular. q: The carpet is black. Which of these correctly describes the truth value of the symbolic statement ? It is false when p is false and q is false. It is true when p is true and q is true. It is false when p is false and q is true. It is false when p is true and q is false.
@kat0710 @doulikepiecauseidont
whoever gets this right i fan them and get them a medal
i believe it's the second one
good point
Its p or q, or ~p and ~q
@TheDoctorRules @JimmyC @rrrrr
please help me
I break it down for you option by option. 1. It is true when p is true and q is true. When p is true and q is true the logical statement will be false as it fails the requirement of not p and q. 2.It is false when p is true and q is false. When p is true and q is false, it satisfy the logical statement thus it should be true 3. It is false when p is false and q is true. Same reasoning as in 2. 4. It is false when p is false and q is false. When p is false and q is false, the logical statement will be false as it demands one of them to be true, either p or q.
sorry i can't but it looks like this (p or q) and ~(p and q)
@doulikepiecauseidont So what do you think the answer is
yes the first one means p or q and then the second one means not p or q , so which one (p or q) and (not p and q) That and in the middle means the both need to be true for the whole statement to be true. Start by considering them separately. For the left statement, when is that true? For the right statement, when is that true? Then, consider when will they both be true? (p or q) When is that statement true? not(p and q) When is that statement true?
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Is this Geometry or Algebra?
I suck at Algebra. :P
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