x ≠y
The answer depends on what X and Y are.
x=y is the identity. It is its own inverse. So the inverse is y=x.
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
Pseudocode is generally a very loosely defined concept. Various ways you can show your statement: if y = 20 then x = 0 if( y == 20 ) x = 0 if y is 20 then set x to 0
y -> x
"Convex" refers to a shape or surface that curves outward, like a sphere. "Converse" is a term used in logic to represent the result of reversing the hypothesis and conclusion of a conditional statement.
x ≠y
If x squared is not 5, then x is not equal to 5. Do not fall for the trap that the converse is "if x-squared = 25 then x = 5" since that is not a true statement.
Let's take an example.If it is raining (then) the match will be cancelled.A conditional statement is false if and only if the antecedent (it is raining) is true and the consequent (the match will be cancelled) is false. Thus the sample statement will be false if and only if it is raining but the match still goes ahead.By convention, if the antecedent is false (if it isn't raining) then the statement as a whole is considered true regardless of whether the match takes place or not.To recap: if told that the sample statement is false, we can deduce two things: It is raining is a true statement, and the match will be cancelled is a false statement. Also, we know a conditional statement with a false antecedent is always true.The converse of the statement is:If the match is cancelled (then) it is raining.Since we know (from the fact that the original statement is false) that the match is cancelled is false, the converse statement has a false antecedent and, by convention, such statements are always true.Thus the converse of a false conditional statement is always true. (A single example serves to show it's true in all cases since the logic is identical no matter what specific statements you apply it to.)If you are familiar with truth tables, the explanation is much easier. Here is the truth table for A = X->Y (i.e. A is the statement if X then Y) and B = Y->X (i.e. B is the converse statement if Y then X).X Y A BF F T TF F T TT F F TF T T FLooking at the last two rows of the A and B columns, when either of the statements is false, its converse is true.
If x y and y z, which statement is true
The conjunction of a conditional statement and its converse is known as a biconditional statement. It states that the original statement and its converse are both true.
The answer depends on what X and Y are.
If x = y and y = z then x = z
No, 50 is double of 25 so....if X = 50 Y = 25 X - Y = 25 25 / Y = 1 1 * 100 = 100% 100% is double. -------------------------------------------------------------------------------------------------------------------------------------------------- X = 50 Y = 25 X/Y = 2 X = 2 x Y <------- statement 1 X/Y = 2 X/Y = 2 x 100% = 200% X = 200% of Y <------ statement 2 By statement 1 & 2, 200% is equivalent to double.
A biconditional is the conjunction of a conditional statement and its converse.
x=y is the identity. It is its own inverse. So the inverse is y=x.