I NEED HELP QUICKLY.
2 answers:
Answer:
1) A 2) 3)A 4)B
Step-by-step explanation:
Hi there!
To check those options we have to make it visible in a Truth Table. (Below). Also as it is an exercise of Logical Implications I've assumed some arrows are missing. The symbol ~ = ¬ Check it below.
1. When p is false and q is true, then p or q is always true (Truth Table 1)
Look it down the Truth Table, we are dealing with a Logical Implication. If p does is False and Q is true, the only result is the truth for these operands.
2. Examining the second (Truth Table 2)
If p is true and ~ q is false, then p ~ q
Well, assuming it is:
If p is true and ~ q is false, then p →~ q
Just like the Truth Table below, In a Logical Implication only when we start by truth operand and then we get a False conclusion we'll have a False as a Result.
3. Focusing on the Third one.
Assuming it is a ~p→~q Take a look at the Truth Table 3. Same principle as well.
Look firstly to the Truth Table 1.
In a Logical Implication if we start we come to a truth, then it's Truth.
Now pass it on to the Truth Table 3
As with False and False we conclude truth too then the answer is
A.
4) If p q is true and q is true, then p is ___ true.
Again assuming it is
If p →q is true and q is true, then p is ___ true.
Let's examine, scrutinizing it from the conclusion, i.e. from back to forth
Only two options on our Truth Table fits the case (in yellow)
In a Logical Implication, in this case, since q is true p may be true or false. So p is sometimes true.
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Okay, so first off, if you need to graph anything, I suggest Desmos, it's a website with an online graphing calculator. It saved my life for highschool geometry.
Now, to answer your question, your y-intercept is going to be at point (0,2). Your x-intercepts are going to be at points (-2,0) and (-4,0). Your point is at (-3,-1). And then your lines simply extend from there.
Hope this isn't too late to be helpful, good luck with your assignments.
