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Negative: m is less than or equal to 3 or n is less than or equal to 2, then m+n is greater than 5
No proposition: m is greater than 3 and n is greater than 2, then m+n is greater than 5
Negative, only negative conclusions.
If the proposition is negative, both the conditions and the conclusion are negative.
ps;To help you understand, add the following:
The negation of a proposition is the denial of the conclusion of this proposition. (The negation of a proposition is the opposite of the truth or falsity of the original proposition).
The negation of a proposition is the denial of the conditions and conclusions of this proposition. (There is no necessary connection between the negative proposition and the truth or falsity of the original proposition).
For example, if all three corners of a triangle are acute angles, then the triangle is an acute triangle. (Really).
Negation of the proposition: If all three angles of a triangle are acute, then the triangle is not an acute triangle. (False).
No proposition: If the three angles of a triangle are not all acute angles, then the triangle is not an acute triangle. (Really).
The negation of a proposition is like a set relation: complement. One yes, one no.
A negative proposition, on the other hand, is the simultaneous negation of the condition and the conclusion, and there is no specific relationship.
For example, if a>0, then a>2 is true. (false) (full proposition, its negation is an existential proposition, its negative proposition is a full proposition).
Negation of the proposition: If a>0, then a>2 is not necessarily true. (Really).
Negative proposition: If a<=0, then a<=2(Really).
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The propositional negation only negates the conclusion, but the propositional condition and the conclusion are both negated. Take your question, for example.
The propositional negation, which is what you call the negation, is: "If m<=1, n<=2, then m+n>3".
The negative proposition is "if m>1, n>2, then m+n>3".
There are also original propositions that are true, and negative propositions and inverse propositions are not necessarily true, but inverse negative propositions must be true.
Therefore, the relationship between the original proposition and the inverse proposition can be solved and proved.
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Summary. 1.The negation of the proposition "3n n,n>2" is "n is less than or equal to 2 for any n n".
1.The negation of the proposition "3n n,n>2" is.
4 students from A, B, C, and D stand in a row to participate in the art show, if A and B cannot stand at both ends at the same time, different arrangements are common.
1.The negation of the proposition "3n n,n>2" is "n is less than or equal to 2 for any n n".
4 students from A, B, C, and D stand in a row to participate in the art show, if A and B cannot stand at both ends at the same time, different arrangements are common.
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When both m and n are less than 0, the number of negative envy permeability is m, for example: m=-3n=-2
But. Therefore, the spine: if mm is false. If you don't understand, you can continue to ask!
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"The big group? x r, x -1 or x 2" is the proposition of which eggplant.
The negative proposition is: ?x r, -1 Li Fangcha x 2
So the answer is: ?x∈r,-1<x<2.
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∵“?x r, x -1 or x 2" are special propositions.
The negative proposition is: ?x∈r,-1<x<2.
So the answer is: ?x∈r,-1<x<2.
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Proposition "<>
r,x<>
Analysis of test questions: The negation of the full proposition is a special proposition, so its negation is <>
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