Step-by-step explanation:
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Answer:
Consider the proposition C=(p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)
Step-by-step explanation:
This compound proposition C uses the outer disjunction (∨) then the proposition is true if and only if one of the three propositions (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.
First, it is impossible that two or three of these propositions are simultaneously true. For example, if (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjuntion) and r is true (from the second one), a contradiction. All the other possibilities can be discarded reasoning in the same way.
Since these propositions are mutually excluyent, C is true if and only if exactly one of the three propositions is true (and false otherwise). This can only happen if exactly two of p,q, and r are true and the other one is false. For example, (p∧q∧¬r) is true when p and q are true, and r is false.
Answer:
y= 1/2x -5
Step-by-step explanation:
First, you multiply 1/2 with x, and 1/2 with -2, which then makes the equation
y+4=1/2x -1
then, you have to subtract 4 from both sides of the equation and combine -1 and -4, which gets you -5.
Then the equation turns out to be
y=1/2x-5
Answer : - Symmetric property of equality tells that for all real numbers p and q, if p=q then q=p which means if we interchange the sides of an equation then the equation is still a true statement .
For example :-
1. We know that 4+5 =9 then by symmetric property we can also say that 9=4+5.
2. If 5x+5=7 then by symmetric property of inequality 7=5x+5.
